Question

A composite figure has a radius of 10 cm.

A circle with radius of 10 centimeters. One-quarter of the circle is cut out of the figure.

What is the area of this composite figure? Use 3.14 for Pi.
23.55 centimeters squared
78.5 centimeters squared
235.5 centimeters squared
314 centimeters squared

Answer 1

C, 235.5 cm^2

Explanation:

Formula for area of circle:

A = πr^2

Where π represents pi(3.14 or 22/7) and r represents the radius.

Plug in given value (10):

A = πr^2

A = 3.14(10)^2

A = 3.14(100)

A = 314

Now they say a quarter of this circle is cut out, which means we have to first find out what a quarter of this area is:

314/4

= 78.5

A quarter of this circle is 78.5, so let's subtract this from the total area (314):

314 - 78.5

= 235.5 cm^2

The area is 235.5 centimeters squared.