Question

A 12 cm x 2 cm rectangle sits inside a circle with radius of 8 cm.

Answer 1

Answer:

Diagram was not given.

Still I had drawn it, hope may it will helpful to you. So as per my diagram I had solved the sum.

The area of the shaded region is 176.96 ≈ 178 cm²

Step-by-step explanation:

Given:

radius of the circle        = r  = 8 cm

length of the rectangle = L = 12 cm

breadth of the rectangle = B = 2 cm

To Find:

Area of shaded region = ?

Solution:

$\textrm{Area of rectangle} = Length\times Breadth\\= L\times B\\= 12\times 2\\= 24\ cm^{2}$

$\textrm{Area of Circle} = \pi \times (radius)^{2} \\=\pi \times r^{2}\\=3.14\times 8^{2}\\=200.96\ cm^{2}$

Now, The Area of Shaded region will be

$\textrm{Area of Shaded region}=\textrm{Area of Circle}-\textrm{Area of Rectangle}\\=200.96 - 24\\=176.96\ cm^{2} \\=178\ cm^{2}\........... \textrm{Rounded to tenth}$

The area of the shaded region is 176.96 ≈ 178 cm²

Answer 2

Answer:

177.06

Step-by-step explanation:

i got it wrong on khan academy