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natima [27]
4 years ago
15

13. Find the area of a circle with a

Mathematics
1 answer:
statuscvo [17]4 years ago
4 0

Answer:

13. 169π ft²

16. 34π mm

17. 12π in

18. 441π m²

Step-by-step explanation:

Circumference of a circle is calculated as follows:

C = 2π*r

Area of a circle is calculated as follows:

A = π*r²

where <em>r</em> is the radius of the circle

13. circumference of the circle: 26π ft

Then, its radius is:

26π = 2π*r

r = 26π/(2π) = 13 ft

A = π*13² = 169π ft²

16. area of the circle: 289π mm²

Then, its radius is:

289π = π*r²

r = √289

r = 17 mm

C = 2π*17 = 34π mm

17. area of the circle: 113.1 in²

Then, its radius is:

113.1 = π*r²

r = √(113.1/π)

r = 6 in

C = 2π*6 =  12π in

18. circumference of the circle: 131.95 m

Then, its radius is:

131.95 = 2π*r

r = 131.95/(2π)

r = 21 m

A = π*21² = 441π m²

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