Question

A 3 cm by 3 cm rectangle sits inside a circle with radius of 4 cm

Answer 1

Answer:

41.24 cm²

Step-by-step explanation:

Here is the complete question:  A 3 cm by 3 cm rectangle sits inside a circle with radius of 4 cm. What is the area of the shaded region?

Given: measurement of rectangle is $3\ cm\times 3\ cm$

          Radius of circle is 4 cm.

We can find the area of shaded region by subtracting area of rectangle from area of circle.

First, lets find the area of rectangle

Formula; Area of rectangle= $length\times width$

Area of rectangle= $3\ cm\times 3\ cm= 9\ cm^{2}$

∴ Area of rectangle= 9 cm²

Now, finding the area of circle.

Formula: Area of circle= $\pi r^{2}$ (∵ r is radius)

Area of circle= $3.14\times 4^{2} = 3.14\times 16$

∴ Area of circle= 50.24 cm²

Next solving to find area of shaded region.

Area of shared region= $\textrm{Area of the circle} - \textrm{Area of the rectangle}$

Area of shaded region= $50.24\ cm^{2} - 9\ cm^{2} = 41.24\ cm^{2}$

∴ Area of shaded region= 41.24 cm²