Geometry Applications Unit Review

Front

What is the formula for the area of a circle?

Back

A = πr², where A is the area and r is the radius.

Front

How do you find the diameter of a circle if you know the area?

Back

Use the formula A = πr² to find the radius, then d = 2r.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the radius: d = 2r.

Front

If the radius of a circle is 7.5 ft, what is the area?

Back

A = π(7.5)² ≈ 176.71 ft².

Front

What is the area of a circle with a diameter of 15 ft?

Back

A = π(7.5)² ≈ 176.71 ft².

Front

How do you calculate the area of a circle with a given radius?

Back

Use the formula A = πr².

Front

What is the area covered by a baby monitor with a 50-meter radius?

Back

Area = π(50)² ≈ 7850 m².

Front

If a figure skater skates in a circle with a radius of 30 ft, how far does she travel in 6 laps?

Back

Circumference = 2πr = 2π(30) ≈ 188.4 ft; Total distance = 6 * 188.4 ft ≈ 1130.4 ft.

Front

What is the circumference of a circle with a radius of 10 ft?

Back

Circumference = 2π(10) ≈ 62.83 ft.

Front

How do you find the area of a tile border around a pool?

Back

Calculate the area of the outer rectangle and subtract the area of the inner rectangle.