Question

The radius of the larger circle is 10 cm. The radius of the smaller circle is 3 cm. What is the approximate area of the shaded region?

The large shaded circle containing a smaller white circle inside the larger circle.



Question options:




70.7 square centimeters




86.5 square centimeters




102.4 square centimeters




285.74 square centimeters

Answer 1

`285.74\ cm^(2)`

Explanation:

we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the smaller circle

so

`A=\pi 10^(2) -\pi 3^(2)=\pi(10^(2)-3^(2))=91\pi\ cm^(2)`

`91\pi\ cm^(2)=91(3.14)=285.74\ cm^(2)`