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postnew [5]
2 years ago
5

The diameter of a circle is 8 feet. What is the angle measure of an arc a feet long?

Mathematics
1 answer:
fiasKO [112]2 years ago
4 0

Answer:

Given: circle

diameter = 10 cm => radius (R) = 5 cm

Find: measure of angle bounding sector = 11 π sq. cm.

Plan: determine what part of the circle’s total area equals the sector’s area.

Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.

Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25

Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.

C = 2 π R = 2 π (5) = 10 π cm

Sector Arc = measure of sector angle = 11/25 (10 π) =

22π/5 radians

Answer: Sector Arc = 22π/5 Radians

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Answer:

The answer to your question is 25 ft

Step-by-step explanation:

Data

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To solve this problem use the Pythagorean theorem.

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         c² = 625

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         c = \sqrt{625}

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