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Here is a diagram of a softball field:

About how long is the fence around the field?

About how big is the outfield?

Here is a diagram of a softball field: About how long is the fence around the field-example-1
User Teobis
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2 Answers

22 votes
22 votes

Answer:

78

Explanation:

joe biden

User Dov Grobgeld
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16 votes
16 votes

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 = 2πr

Perimeter 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.

User Mister Martin
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