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3 years ago

The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector?

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

5 0

Answer:

15 m

Step-by-step explanation:

The area of the circle is

A =pi r^2

A = pi 4^2 = 16 pi

The area of the sector is 30

The fraction is

30/16 pi

Take this time 2pi which are the radians of a circle

30 /16 pi * 2 pi = 15/4

This is the number of radians the angle is

The arc length is s = r * theta where theta is in radians

s = r theta

= 4 * 15/4

= 15

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Step-by-step explanation:

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