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Xelga [282]
3 years ago
6

2 Points

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

50.24 yd^2

Step-by-step explanation:

The area of a circle can be found using:

a=\pi r^{2}

First, we need to find the radius. We have the diameter. The diameter is twice the radius, or

d=2r

We know that the diameter is 8, so we can substitute 8 in for d

8=2r

Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.

8/2=2r/2

4=r

Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.

a=\pi r^{2}

a=3.14*4^2

Solve the exponent

a=3.14*16

Multiply

a=50.24

The area is 50.24 yards^2

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Step-by-step explanation:

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_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

  arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

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