Question

The figures below are based on semicircles and squares. Find the perimeter and the

area of each shape. Give your answer as a completely simplified exact value in terms of pi.

Answer 1

Answer:The answer should be

Perimeter is: √72+3π or 6√2+3π

Area is: 18+(9π)/2

Explanation:

First we are going to find the perimeter.

To find the perimeter we can use the 6cm as the diameter.

by dividing it by 2 you get 3cm which is the radius.

use the formula 2πr by plugging 3 in you can get that the circumference of the circle is 6π.

Then divide it by 2 to get 3π which is half the perimeter.

To find the triangle we can use a^2+b^2=c^2.

We can say that a=6 and b=6 to get that c=√72 or c=6√2.

The perimeter would be √72+3π or 6√2+3π

To find the area we can use the 6cm again.

To find the area of the circle use πr^2.

Plugging in r=3 we can say that the area of a full circle is 9π.

We then have to find the area of a half circle which is (9π)/2

Then we can find the triangle by using the formula (bh)/2

plugging in b=6 and h=6 we can find that the area of the triangle is 18

The area would be 18+(9π)/2

Hope This Helps! :}