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MathNet 2019-part-06 — 184 problems (EN–VI) Question 136

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 136

What is the size of the central angle belonging to a circular arc whose length equals the radius of the circle?
(A) $\frac{45^{\circ}}{\pi}$
(B) $\frac{90^{\circ}}{\pi}$
(C) $\frac{135^{\circ}}{\pi}$
(D) $\frac{180^{\circ}}{\pi}$
(E) $\frac{270^{\circ}}{\pi}$