what can the radius be?

Geometry Level 1

in the diagram, arc length of abc is 22 c.m and angle aoc=60 degree. what is the value of the radius of the circle? use π=22/7

The answer is 21.

2 solutions

Aareyan Manzoor
Nov 13, 2014

really simple,a pie chart is always 360 degrees, so aoc is $\frac{1}{6}$ of total. and thus so is ABC. ABC= 22, whole circle circumference = 22 $\times$ 6. 2 pi r= $22 \times 6$ $2 \times \frac{22}{7}\times r = 22 \times 6$ $2r=\frac {22 \times 6}{\frac {22}{7}}$ $2r= \frac {22 \times 6\times 7}{22}$ 2r = 42 r = 21

Ramesh Goenka
Oct 23, 2014

3 * 22 = r * (22/7)

what can the radius be?

The answer is 21.

2 solutions

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