Question 5 (2 points)
Here is a diagram of a softball field:
Outfield
Infield
110 ft
250 ft
Use this diagram to answer the questions below.
Use 3.14 to represent and round your answer to the nearest whole number. Type your answers in the boxes below.
HINT: For this problem we are going to assume the infield is a regular circle. Solve as if it is a circle.
1. The fence around the field (the whole perimeter of the shape) is about
feet
2. The area of the outfield is about
ft

Answers

Answer 1

a. The Length of the fence around the field = perimeter of quarter circle is  892.7 ft.

b. The area of the outfield is 39,584 sq. ft..

What is the circle about?

Note that:

Perimeter of circle = 2πrPerimeter of a quarter circle = 2r + 1/4(2πr).

a. The length of the fence around the field = perimeter of the quarter circle fence

= 2r + 1/4(2πr).

r = 250 ft

Put in the value

The length of the fence around the field = 2(250) + 1/4(2 × π × 250)

= 892.7 ft.

b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)

= 1/4(πR²) - πr²

R = radius of the full field = 250 ft

r = radius of the infield = 110/2 = 55 ft

Put in the values

Size of the outfield = 1/4(π × 250²) - π × 55²

= 49,087 - 9,503

= 39,584 sq. ft.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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