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erastova [34]
3 years ago
13

Find the radius of a circle that has an arc whose central angle measures 17 degrees and has a length of 12 degrees.

Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

The radius of the circle is 40.44 cm

Step-by-step explanation:

We can use the formula for the arc of a circle of radius R and central angle \theta, where \theta is given in radians (we therefore convert 17^o into radians with 17^o\,\pi/180^o=0.2967 radians)

arc=R\,\theta\\12\,cm= R\,\theta\\12\,cm=R\,(0.2967)\\R=\frac{12}{0.2967} \,cm\\R=40.44\,cm

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