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Mathematics

Grade9

Easy

Question

Given is an equilateral triangle ABC with a radius of 8 cm.

Find the measure of the central angle.

30
60
120
150

hint Hint:

Angle is a figure which is formed when two rays meet at a common point. Angles can be of many types one of them is central angles. Central angle is formed when two radii of a circle meet at the centre the circle. Central angle of a regular polygon can be determined by using the formula $fraction numerator 360 over denominator N o. space o f space s i d e s end fraction$ . Here, we have to find the central angle of the given regular polygon.

The correct answer is: 120

In the question there is a triangle as shown in the figure.
Here, we have to find the central angle of the given triangle.
Central angle = $fraction numerator 360 over denominator N o. space o f space s i d e s end fraction$
= $fraction numerator 360 over denominator 3 end fraction$
= 120
So, the central angle of the given triangle is 120.
Therefore, the correct option is c, i.e., 120.

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