Question

5. Janice is creating a design that is part of a logo consisting of a small and a large circle.

The diameter of the small circle is of the diameter of the large circle. The diameter of
the large circle is 27 centimeters. To the nearest tenth of a centimeter, what is the area
of the smaller circle?
27 cm

Answer 1

Answer: The area of the smaller circle is
`65.6cm^(2)`.

Explanation:

A =
`\pi r^(2)`, r is the radius.

1. Find out the diameter of the small circle.

`(1)/(3)(27)= 9`

2) Find out the radius, r.

`radius = (diameter)/(2) =(9)/(2) =4.5`

3) We plugin r = 4.5 into the formula to solve the area of the smaller circle.

`A=\pi r^(2)=\pi (4.5)^(2) =65.6cm^(2)`