Question

A circle with a radius of 3cm sits inside a circle with a radius of 7 cm. What is the area of the shaded region?

Answer 1

Answer:

The area of circle = pie r square.

The area of the shaded region = the area of the circle with radius 7 cm - the area of the circle with radius 3 cm

= 154 - 28.285

= 125.714.

Answer 2

Step-by-step explanation:

This will form a hollow circular part of a cylinder of outer radius 7cm and inner radius 3cm

Area of a circle is given by πr^2.

Then, the big circle of radius 7cm

Area= πr^2

Area=22/7×7×7

Area =154cm^2.

Area of the circle of radius 3cm

Area= πr^2

Area=22/7×3×3

Area =28.286cm^2.

Area of the shaded part becomes

Big area - small area

154-28.286

Area of shaded part = 125.7143cm^2

Then to the nearest hundredth

Area of shaded part =125.71cm^2