TACHS Math - Geometry | Practice Hub

Find the area of a circle with the following radius:

$49\pi$

$14\pi$

$16\pi$

$7\pi$

$48\pi$

Explanation

The area of a circle can be calculated using the following formula:

$A=\pi r^2$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times 7^2$

$A=49\pi$

A square has perimeter 24 feet. Give its area.

36 square feet

576 square feet

144 square feet

18 square feet

Explanation

The perimeter of a figure is the sum of the lengths of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 24 feet, then each side has length

$24 \div 4 = 6$ feet.

The area of the square is equal to the length of a side multiplied by itself, so the area of this square is

$6\times6= 36$ square feet.

A square has perimeter 24 feet. Give its area.

36 square feet

576 square feet

144 square feet

18 square feet

Explanation

The perimeter of a figure is the sum of the lengths of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 24 feet, then each side has length

$24 \div 4 = 6$ feet.

The area of the square is equal to the length of a side multiplied by itself, so the area of this square is

$6\times6= 36$ square feet.

Find the area of a circle with the following radius:

$49\pi$

$14\pi$

$16\pi$

$7\pi$

$48\pi$

Explanation

The area of a circle can be calculated using the following formula:

$A=\pi r^2$

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

$A=\pi \times 7^2$

$A=49\pi$

Calculate the volume of a sphere with the following radius:

$36\pi$

$24\pi$

$16 \pi$

$8\pi$

$33\pi$

Explanation

We can calculate the the volume of a sphere using the following formula:

$V=\frac{4}{3}\pi r^3$

in this formula the variable, , represents the radius of the sphere.

Substitute in the known radius and calculate the volume.

$V=\frac{4}{3}\times \pi \times 3^3$

$V=\frac{4}{3}\times \pi \times 27$

$V=\frac{4}{3}\times 27\pi$

Simplify.

$V=\frac{4}{3}\times \frac{27\pi}{1}$

$V=\frac{108\pi}{3}$

Solve.

$V=36\pi$

A square has perimeter 24 feet. Give its area.

36 square feet

576 square feet

144 square feet

18 square feet

Explanation

The perimeter of a figure is the sum of the lengths of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 24 feet, then each side has length

$24 \div 4 = 6$ feet.

The area of the square is equal to the length of a side multiplied by itself, so the area of this square is

$6\times6= 36$ square feet.

Calculate the volume of a sphere with the following radius:

$36\pi$

$24\pi$

$16 \pi$

$8\pi$

$33\pi$