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Verizon [17]
3 years ago
12

A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. Wh

at is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3.14 for Pi.
Mathematics
2 answers:
NeTakaya3 years ago
6 0

Answer:

15 cm.

Step-by-step explanation:

It is given that,

Central angle =\dfrac{7\pi}{10}

Arc length = 33 cm

Formula for arc length :

s=r\theta

where, s is arc length, r is radius and \theta is central angle in radian.

Substitute s=33 and \theta=\dfrac{7\pi}{10} in the above formula.

33=r\left(\dfrac{7\pi}{10}\right)

Multiply both sides by 10.

330=7\pi r

Divide both sides by 7\pi.

\dfrac{330}{7\pi}= r

Put \pi=3.14

\dfrac{330}{7(3.14)}= r

15.0136= r

r\approx 15

Therefore, the radius of the circle is 15 cm.

Genrish500 [490]3 years ago
5 0

Answer:

15

Step-by-step explanation:

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