In circle O, mathrm{~m} angle P O Q=40^{circ} and the length of P Q=frac{2}{3} pi. Find the length of overline{O P}.

Question

Accepted Answer

Step:1 ：Convert the given angle from degrees to radians: (angle_in_radians = frac{angle_in_degrees * pi}{180})Step:2 ：(angle_in_radians = frac{40 * pi}{180} = 0.6981317007977318)Step:3 ：Use the rearranged arc length formula to find the length of the radius OP: (radius = frac{arc_length}{angle_in_radians})Step:4 ：(radius = frac{frac{2}{3} pi}{0.6981317007977318} = 3.0)Step:5 ：(boxed{3.0})

Answer

Step: 1 ：Convert the given angle from degrees to radians: (angle_in_radians = frac{angle_in_degrees * pi}{180})Step: 2 ：(angle_in_radians = frac{40 * pi}{180} = 0.6981317007977318)Step: 3 ：Use the rearranged arc length formula to find the length of the radius OP: (radius = frac{arc_length}{angle_in_radians})Step: 4 ：(radius = frac{frac{2}{3} pi}{0.6981317007977318} = 3.0)Step: 5 ：(boxed{3.0})

In circle $O, m ∠ P O Q = 40^{\circ}$ and the length of $P Q = \frac{2}{3} π$ . Find the length of $\overset{―}{O P}$ .

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Popular Problems

In circle O, m∠POQ=40∘ and the length of PQ=23π. Find the length of OP―.

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Popular Problems

In circle $O, m ∠ P O Q = 40^{\circ}$ and the length of $P Q = \frac{2}{3} π$ . Find the length of $\overset{―}{O P}$ .