A round garden has a circumference of 15.7 feet. Calculate the area of
the garden

The area of the garden is 19.64 feet²

The garden has the shape of a circle.

The area of a circle = πr²

Where:

π= pi = 22/7

r = radius

In order to determine the area of the garden, the radius has to be determined first. The radius would be determined from the circumference of the circle.

Circumference of the circle = 2πr

15.7 = 2 x (22/7) x r

r = 15.7 ÷ ( 2 x 22/7)

r = 2.50 feet

Area of the garden = (22/7) x (2.5²) = 19.64 feet²

Please find attached an image of a circle.

To learn more about the area of a circle, please check: link

The area of a circle with circumference 15.7 is 19.62

Step-by-step explanation:

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A] the relationship between angles  ∠7 and  ∠8 are defined as vertically opposite angles, they are those angles that opposite to each other when two line cross.  they are vertical in the sense that they share the same vertex (the same corner angles) as opposed to the usual up-down meaning of vertical. 

b] the angles created by this intersection between c and d are special because they are equal to each other, to solve for y we shall have:
(5y-29)=(3y+19)
this is because they are vertical angles, hence solving the above we get:
5y-3y=19+29
2y=48
y=48/2
y=24°

c] to solve for  ∠7 and  ∠8 we proceed as follows;
angles in a straight line add up to 180:
therefore:
(5y-29)+∠7=180
substituting the value of y in the above and solving for  ∠7 we get:
(5×24-29)+∠7=180
91+∠7=180
∠7=180-91
∠7=89

but remember that  vertical angles are equal to each other, therefore:
∠7=∠8=89°