The fountain is made up of two semicircles and one quarter circle. Find the perimeter and area of the fountain.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

3 0

Answer:

628ft²

Step-by-step explanation:

From the diagram, we are given the following

diameter of the semicircles

2semi circles = 1 circle

Area of 2semicircles = πd²/4

Area of 2semicircles = 3.14(20)²/4

Area of 2semicircles = 3.14*400/4

Area of 2semicircles = 3.14*100

Area of 2semicircles = 314ft²

Area of the quarter circle = πd²/4 * 1/4

Area of the quarter circle = πd²/16

d = 2r

d = 2*20

d = 40ft

Area of the quarter circle = 3.14(40)²/16

Area of the quarter circle = 3.14*1600/16

Area of the quarter circle = 3.14*100

Area of the quarter circle = 314ft²

Area of the fountain = 314ft²+314ft²

Area of the fountain = 628ft²

You might be interested in

You owe 958.62 on a credit card at 9.7 percent apr the minimum payment is 105.00 how much goes toward principal if you make the

weqwewe [10]

APR stands for Annual Percentage Rate and in this problem, we are given APR is equal to 9.7%
Per month rate = 9.7% / 12 months = 0.808%

Total credit interest for 12 months = 958.62 *0.097 = $92.97
In one month = $92.97/12 = $7.7475
If you pay at the end of the first month:
Payment = 105.00
The amount goes to principal:
Amount =$105 - $ 7.7475
Amount = $142.25

7 0

3 years ago

Can someone please help me

pogonyaev

Answer:

(3,5)

Step-by-step explanation: