Question

Find the area of a circle with (a) a radius of 9.2 centimeters and (b) a diameter of 50.5 inches.

Round your answers to the nearest hundredth.

Answer 1

Circle A: 265.9 cm²

Circle B: 2002.96 inches²

Explanation:

Hi there!

Circle A

`A=\pi r^2` where r is the radius of the circle

Plug in the radius 9.2 cm

`A=\pi (9.2)^2\\A=84.64\pi \\A=265.90`

Therefore, the area of the circle is 265.9 cm² when rounded to the nearest hundredth.

Circle B

`A=\pi ((d)/(2)) ^2` where d is the diameter of the circle (because radius=diameter/2)

Plug in the diameter 50.5 inches

`A=\pi ((50.5)/(2)) ^2\\A=\pi (25.25) ^2\\A=637.5625\pi \\A=2002.96`

Therefore, the area of the circle is 2002.96 inches² when rounded to the nearest hundredth.

I hope this helps!