Question

The circumference of the circle is approximately 125.66 centimeters.

The shade region is of the whole circle.
Enter the area of the shaded region, in square centimeters. Round your
answer to the nearest hundredth.

Answer 1

The area of the shaded region is 1256 cm²

Explanation:

The circumference of the circle = 2πr

⇒ 125.66 = 2πr

⇒ 125.66 = 2
`*`3.14
`*`r

⇒ 125.66 = 6.28 r

⇒ r = 125.66/6.28

⇒ r = 20.009

radius ≈ 20 cm

The area of the shaded region (circle) = πr²

⇒ 3.14
`*`20
`*`20

⇒ 1256 cm²