a. Length of the fence around the field = perimeter of quarter circle = 892.7 ft.
b. The area of the outfield is about 39,584 sq. ft..
<h3>What is the Perimeter of a Quarter Circle?</h3>
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
Plug 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
Plug in the values
Size of the outfield = 1/4(π × 250²) - π × 55²
= 49,087 - 9,503
= 39,584 sq. ft.
Learn more about perimeter of quarter circle on:
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Line Segment WX=4
Line Segment XY=4
Line Segment YZ=4
Line Segment ZW=4
4+4+4+4=16
The perimeter is 16 units.
No triangle 60+40=100 which is the same as one side
Answer:
Step-by-step explanation:
P(BA)=P(B)+P(A)-P(AnB)
= 0.51+0.8-0.468
=1.31-0.468
=0.842
P(BA) = 0.842
Answer:
$2,753.79
Step-by-step explanation:
Compound Interest Formula

where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $2,000
- r = 3.25% = 0.0325
- n = 1
- t = 10
Substitute the given values into the formula and solve for A:



Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.