Question

Circle O is shown below. The diagram is not drawn to scale.

If m∡R = 24°, what is m∡O?

48°
96°
24°
12°

Answer 1

The measure of angle O (m∠O) is 48°. The correct option is the first option- 48°

Circle Geometry

From the question, we are to determine the measure of angle O

From one of the circle theorems, we have that

The angle at the center is twice the angle at the circumference

∴ m∠O = 2 × m∠R

From the diagram, m∠R = 24°

Then,

m∠O = 2×24°

m∠O = 48°

Hence, the measure of angle O (m∠O) is 48°. The correct option is the first option- 48°

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