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icang [17]
3 years ago
6

For a circle with the radius of 15 cm what is the length of an ark intercepted by angle measuring 120?

Mathematics
2 answers:
sp2606 [1]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:

10 Pi


Discussion:

Circumference of full circle = 2 Pi r = 2 Pi (15) = 30 Pi. As a circle contains 360 degrees, 120 degrees is one third of the circle and subtends an arc of  

(30 Pi)/3 = 10 Pi



Thank you,

MrB

mihalych1998 [28]3 years ago
3 0

Answer:

The length of an arc is, 31.41594 cm

Step-by-step explanation:

The arc length of the circle(l) is given by:

l =r \theta            ....1[]

where

r is the radius of the circle

\theta is the angle in radian.

As per the statement:

For a circle with the radius of 15 cm and angle is 120 degree.

⇒r = 15 cm and angle in degree = 120

Use conversion:

1 degree = 0.0174533 radian

then;

120 degree = 2.094396 radian

⇒\theta = 2.094396

Substitute the given values in [1] we have;

l = 15 \cdot 2.094396 = 31.41594

⇒l = 31.41594 cm

Therefore,  the length of an arc is, 31.41594 cm

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