Calculating the angle for a percentage of a circle - GMAT Quantitative
Card 1 of 48
How many degrees does the hour hand on a clock move between 3 PM and 7:30 PM?
How many degrees does the hour hand on a clock move between 3 PM and 7:30 PM?
Tap to reveal answer
An hour hand rotates 360 degrees for every 12 hours, so the hour hand moves 
.
There are 4.5 hours between 3 PM and 7:30 PM, so the total degree measure is
.
An hour hand rotates 360 degrees for every 12 hours, so the hour hand moves
There are 4.5 hours between 3 PM and 7:30 PM, so the total degree measure is
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If a sector covers 
of a circle, what is the angle of the sector?
If a sector covers
Tap to reveal answer
One full rotation of a circle is 
, so if a sector covers 
of a circle, its angle will be 
of 
. This gives us:
One full rotation of a circle is
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A given sector covers 
of a circle. What is the corresponding angle of the sector?
A given sector covers
Tap to reveal answer
A circle comprises 
, so a sector comprising 
of the circle will have an angle that is 
of 
.
Therefore:
A circle comprises
Therefore:
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A given sector of a circle comprises 
of the circle. What is the corresponding angle of the sector?
A given sector of a circle comprises
Tap to reveal answer
A circle comprises 
, so a sector comprising 
of the circle will have an angle that is 
of 
.
Therefore:
A circle comprises
Therefore:
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The hour hand on a clock moves from 3PM to 6PM. How many degrees does the hour hand move?
The hour hand on a clock moves from 3PM to 6PM. How many degrees does the hour hand move?
Tap to reveal answer
The hour hand moves around a circle from 3PM to 6PM. Since there are 12 hours on a clock and the hand is moving through 3 of them, the hand is moving through a sector comprising 
of the circle because,
.
Since a circle has 
, the angle of the sector is:
The hour hand moves around a circle from 3PM to 6PM. Since there are 12 hours on a clock and the hand is moving through 3 of them, the hand is moving through a sector comprising
Since a circle has
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The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Tap to reveal answer
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Begin by dissecting the question and figurign out exactly what they are asking and telling you. It's a bit wordy, but what we are looking for is the measure of the central angle for each of the search-sectors
We are told that there are 120 equal sectors.
We also know that a circle is made up of 
So, to find the central angle of each sector, simply do the following calculation:
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Begin by dissecting the question and figurign out exactly what they are asking and telling you. It's a bit wordy, but what we are looking for is the measure of the central angle for each of the search-sectors
We are told that there are 120 equal sectors.
We also know that a circle is made up of
So, to find the central angle of each sector, simply do the following calculation:
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How many degrees does the hour hand on a clock move between 3 PM and 7:30 PM?
How many degrees does the hour hand on a clock move between 3 PM and 7:30 PM?
Tap to reveal answer
An hour hand rotates 360 degrees for every 12 hours, so the hour hand moves .
There are 4.5 hours between 3 PM and 7:30 PM, so the total degree measure is
.
An hour hand rotates 360 degrees for every 12 hours, so the hour hand moves
There are 4.5 hours between 3 PM and 7:30 PM, so the total degree measure is
← Didn't Know|Knew It →
If a sector covers of a circle, what is the angle of the sector?
If a sector covers
Tap to reveal answer
One full rotation of a circle is , so if a sector covers of a circle, its angle will be of . This gives us:
One full rotation of a circle is
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A given sector covers of a circle. What is the corresponding angle of the sector?
A given sector covers
Tap to reveal answer
A circle comprises , so a sector comprising of the circle will have an angle that is of .
Therefore:
A circle comprises
Therefore:
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A given sector of a circle comprises of the circle. What is the corresponding angle of the sector?
A given sector of a circle comprises
Tap to reveal answer
A circle comprises , so a sector comprising of the circle will have an angle that is of .
Therefore:
A circle comprises
Therefore:
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The hour hand on a clock moves from 3PM to 6PM. How many degrees does the hour hand move?
The hour hand on a clock moves from 3PM to 6PM. How many degrees does the hour hand move?
Tap to reveal answer
The hour hand moves around a circle from 3PM to 6PM. Since there are 12 hours on a clock and the hand is moving through 3 of them, the hand is moving through a sector comprising of the circle because,
.
Since a circle has , the angle of the sector is:
The hour hand moves around a circle from 3PM to 6PM. Since there are 12 hours on a clock and the hand is moving through 3 of them, the hand is moving through a sector comprising
Since a circle has
← Didn't Know|Knew It →
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Tap to reveal answer
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Begin by dissecting the question and figurign out exactly what they are asking and telling you. It's a bit wordy, but what we are looking for is the measure of the central angle for each of the search-sectors
We are told that there are 120 equal sectors.
We also know that a circle is made up of
So, to find the central angle of each sector, simply do the following calculation:
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Begin by dissecting the question and figurign out exactly what they are asking and telling you. It's a bit wordy, but what we are looking for is the measure of the central angle for each of the search-sectors
We are told that there are 120 equal sectors.
We also know that a circle is made up of
So, to find the central angle of each sector, simply do the following calculation:
← Didn't Know|Knew It →
How many degrees does the hour hand on a clock move between 3 PM and 7:30 PM?
How many degrees does the hour hand on a clock move between 3 PM and 7:30 PM?
Tap to reveal answer
An hour hand rotates 360 degrees for every 12 hours, so the hour hand moves .
There are 4.5 hours between 3 PM and 7:30 PM, so the total degree measure is
.
An hour hand rotates 360 degrees for every 12 hours, so the hour hand moves
There are 4.5 hours between 3 PM and 7:30 PM, so the total degree measure is
← Didn't Know|Knew It →
If a sector covers of a circle, what is the angle of the sector?
If a sector covers
Tap to reveal answer
One full rotation of a circle is , so if a sector covers of a circle, its angle will be of . This gives us:
One full rotation of a circle is
← Didn't Know|Knew It →
A given sector covers of a circle. What is the corresponding angle of the sector?
A given sector covers
Tap to reveal answer
A circle comprises , so a sector comprising of the circle will have an angle that is of .
Therefore:
A circle comprises
Therefore:
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A given sector of a circle comprises of the circle. What is the corresponding angle of the sector?
A given sector of a circle comprises
Tap to reveal answer
A circle comprises , so a sector comprising of the circle will have an angle that is of .
Therefore:
A circle comprises
Therefore:
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The hour hand on a clock moves from 3PM to 6PM. How many degrees does the hour hand move?
The hour hand on a clock moves from 3PM to 6PM. How many degrees does the hour hand move?
Tap to reveal answer
The hour hand moves around a circle from 3PM to 6PM. Since there are 12 hours on a clock and the hand is moving through 3 of them, the hand is moving through a sector comprising of the circle because,
.
Since a circle has , the angle of the sector is:
The hour hand moves around a circle from 3PM to 6PM. Since there are 12 hours on a clock and the hand is moving through 3 of them, the hand is moving through a sector comprising
Since a circle has
← Didn't Know|Knew It →
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Tap to reveal answer
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Begin by dissecting the question and figurign out exactly what they are asking and telling you. It's a bit wordy, but what we are looking for is the measure of the central angle for each of the search-sectors
We are told that there are 120 equal sectors.
We also know that a circle is made up of
So, to find the central angle of each sector, simply do the following calculation:
The town of Thomasville organized a search party to look for a missing chicken. The party consisted of groups of people choosing a sector and searching outward from the center of town. Find the angle for the sector of searched by each group if each group chose an equal sized sector, and there were 120 groups.
Begin by dissecting the question and figurign out exactly what they are asking and telling you. It's a bit wordy, but what we are looking for is the measure of the central angle for each of the search-sectors
We are told that there are 120 equal sectors.
We also know that a circle is made up of
So, to find the central angle of each sector, simply do the following calculation:
← Didn't Know|Knew It →
How many degrees does the hour hand on a clock move between 3 PM and 7:30 PM?
How many degrees does the hour hand on a clock move between 3 PM and 7:30 PM?
Tap to reveal answer
An hour hand rotates 360 degrees for every 12 hours, so the hour hand moves .
There are 4.5 hours between 3 PM and 7:30 PM, so the total degree measure is
.
An hour hand rotates 360 degrees for every 12 hours, so the hour hand moves
There are 4.5 hours between 3 PM and 7:30 PM, so the total degree measure is
← Didn't Know|Knew It →
If a sector covers of a circle, what is the angle of the sector?
If a sector covers
Tap to reveal answer
One full rotation of a circle is , so if a sector covers of a circle, its angle will be of . This gives us:
One full rotation of a circle is
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