The value of 36- in radians is

The correct option is B π/5 180^∘ = π radians ∴ 1^∘ = π180 radians ∴ 36^∘ = 36 ×π180 = π5 radians ...

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Byju's Answer

Standard XII

Mathematics

Relation between Radian and Degree

The value of ...

Question

The value of $36^{\circ}$ in radians is

\frac{π}{2}

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\frac{2 π}{5}

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\frac{π}{5}

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3 π

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Solution

The correct option is B $\frac{π}{5}$
$180^{\circ} = π$ radians
$∴ 1^{\circ} = \frac{π}{180}$ radians

$∴ 36^{\circ} = \frac{36 \times π}{180}$ = $\frac{π}{5}$ radians

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Similar questions

How many of the following are matched correctly?

Degree measurement Radian measurement

(A) $180^{\circ}$ (1) $π$
(B) $60^{\circ}$ (2) $\frac{π}{6}$
(C) $0^{\circ}$ (3) 0
(D) $120^{\circ}$ (4) $\frac{2 π}{6}$
(E) $360^{\circ}$ (5) $2 π$
(F) $30^{\circ}$ (6) $\frac{π}{3}$
(G) $90^{\circ}$ (7) $\frac{π}{2}$
(H) $45^{\circ}$ (8) $\frac{π}{4}$
(I) $270^{\circ}$ (9) $3 π$