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A circle has a radius of 6 cm.

What is the exact length of an arc formed by a central angle measuring 45°?


4.5π cm

.75π cm

2.25π cm

1.5π cm

User Thilak
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2 Answers

20 votes
20 votes
Yes I agree with the answer
User Kik
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10 votes

Answer:


1.5\pi cm

Explanation:

A central angle measuring
45^\circ is
(45^\circ)/(360^\circ)=(45)/(360), or
(1)/(8) of the entire circle. The circumference of the circle is given by the formula
2\pi r, which is
12\pi.

Then, the length of an arc measuring
(1)/(8) of the entire circle is
12\pi\cdot(1)/(8)=1.5\pi cm.

User Ktr
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3.2k points