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Alex
3 years ago
15

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 ci

rcle area A = 25π cm2 and Θ = π 4 . A) 20π cm B) 5π 4 cm C) 4π 5 cm D) 10π 4 cm
Mathematics
2 answers:
aivan3 [116]3 years ago
6 0
The answer is definetly b 5 pi 4 cm
OLga [1]3 years ago
4 0

Answer:

L=\dfrac{5\pi}{4} cm

B is correct.

Step-by-step 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=\dfrac{\pi}{4}

\theta=\dfrac{l}{r}

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

r=5

Put r and Ф into fact

\dfrac{\pi}{4}=\dfrac{l}{5}

l=\dfrac{5\pi}{4}

Hence, The length of arc is l=\dfrac{5\pi}{4} cm

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For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

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