Question

Two semicircles are attached to the sides of a rectangle as shown.

What is the area of this figure?

Use 3.14 for pi.

Enter your answer in the box. Round only your final answer to the nearest whole number.

Answer 1

157 in

Explanation:

like you told me, read your text book.

Answer 2

`A=157\ in^2`

Explanation:

The picture of the question in the attached figure

we know that

The area of the figure is equal to the area of one rectangle and two semicircles

so

`A=(b)(h)+(1)/(2)\pi (r_1)^(2) +(1)/(2)\pi (r_2)^2`

where

b is the base of rectangle

h is the height of rectangle

r_1 is the radius of semicircle 1

r_2 is the radius of semicircle 2

we have

`b=14\ in\\h=5\ in\\r_1=14/2=7\ in\\r_2=5/2=2.5\ in`

substitute

`A=(14)(5)+(1)/(2)\pi (7)^(2) +(1)/(2)\pi (2.5)^2`

`A=70+24.5\pi +3.125\pi`

`A=70+27.625(3.14)`

`A=157\ in^2`