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777dan777 [17]
3 years ago
6

The area of a semicircle is 0.7693 square miles. What is the semicircle's radius?

Mathematics
1 answer:
Digiron [165]3 years ago
5 0
Substitute the given information into the formula for area of a semi-circle and solve for r.
  A = (1/2)πr²
  0.7693 mi² = (1/2)πr²
  (2×0.7693 mi²)/π = r²
  √((2×0.7693 mi²)/π) = r ≈ 0.6998 mi

The radius of the semicircle is approximately 0.700 miles
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To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

x^2 + 7^2 = 11.5 ^ 2

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x^2 = 83.25

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Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)

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Have fun!

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