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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.

Two semicircles are attached to the sides of a rectangle as shown. What is the area-example-1

2 Answers

7 votes

Answer:

the answer is 157ft²

Explanation:

i hope this helps;)

User Martin Thurau
by
5.6k points
0 votes

Answer:


157\ in^(2)

Explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of two semicircles

The area of rectangle is equal to


A=14*5=70\ in^(2)

The area of the small semicircle is equal to


A=\pi r^(2) /2


r=5/2=2.5\ in -----> radius is half the diameter

substitute


A=(3.14)(2.5^(2))/2=9.8125 in^(2)

The area of the larger semicircle is equal to


A=\pi r^(2) /2


r=14/2=7\ in -----> radius is half the diameter

substitute


A=(3.14)(7^(2))/2=76.93\ in^(2)

The area of the figure is equal to


70+9.8125+76.93=156.7425=157\ in^(2)

User Don McCaughey
by
6.3k points