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nev322
21.06.2020 •
Mathematics
Please answer this correctly
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Ответ:
346.19 miles²
Step-by-step explanation:
Perimeter (P) of the quarter circle is the curve + both sides.
Perimeter of the curve
Perimeter of the sides
2 sides = 2r
Perimeter = curve + both sides
Find the Area
Ответ:
The area of the quarter circle = 346.19 miles²
Step-by-step explanation:
If the perimeter of a quarter circle = 74.97 miles
r + r + 1/4 * 2pi*r = 74.97 miles
2r + 1/2r * pi = 74.97
Multiply left and right of the = sign by 2 gives...
2 * ( 2r + 1/2 * r * pi ) = 74.97 * 2
( 4r + 2/2* r * pi ) = 149.94
r * ( 4 + 3.14 ) = 149.94
r * ( 7.14 ) = 149.94
7.14 * r = 149.94
Divide left and right of the equal sign by 7.14
7.14 / 7.14 * r = 149.94 / 7.14
r = 149.94 / 7.14
r = 21 miles
Area full circle = r² * pi
21² * pi
441 * pi
We need to calculate a quarter part of the area of the full circle, so
1/4 * 441 * pi
110.25 * pi
110.25 * 3.14
= 346.185, which rounded to the hundreth gives.
The area of the quarter circle = 346.19 miles²
Ответ: