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Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 25π cm2 and Θ = π 4 . A) 20π cm B) 5π 4 cm C) 4π 5 cm D) 10π 4 cm

2 Answers

3 votes
the answer is definetly b 5 pi 4 cm
User Yaya
by
8.1k points
2 votes

Answer:


L=(5\pi)/(4) cm

B is correct.

Explanation:

Use the fact that the length of an arc intercepted by an angle is proportional to the radius.

Area of circle
=25\pi\text{ cm}^2


\theta=(\pi)/(4)


\theta=(l)/(r)


\pi r^2=25\pi\text{ cm}^2


r=5

Put r and Ф into fact


(\pi)/(4)=(l)/(5)


l=(5\pi)/(4)

Hence, The length of arc is
l=(5\pi)/(4) cm

User Chris Mitchelmore
by
7.8k points
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