Question

### Gauthmathier4216

Grade 9 · 2020-11-03

In the figure above, equilateral triangle ABC is inscribed in circle D. What is the measure, in radians, of angle ADB? （ ）

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Answer

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### Gauthmathier8594

Grade 9 · 2020-11-03

Answer

A

Explanation

The radii extending to the corners of the triangle split the circle into three equal parts, so the measure of angle ADB is 360 \div 3= 120^{\circ}. In radians, this is 120^{\circ}\times\dfrac{\pi}{180^{\circ}}=\dfrac{2\pi}{3}.

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