Radians Quiz 1

Question 1

A solar clock is moved a distance of $$30m$$ and radius of its hand is $$5m,$$ calculate the angle subtended at the centre in degrees.

Accepted Answer

$${{343}^{{}^\circ }}38'10''$$

Answer

$${{243}^{{}^\circ }}48'10''$$

Answer

$${{258}^{{}^\circ }}54'11''$$

Answer

$${{148}^{{}^\circ }}18'38''$$

Question 2

Calculate the angle formed by a minute hand in $$27$$ seconds in radians.

Accepted Answer

$$\dfrac{3\pi }{200}$$

Answer

$$\dfrac{\pi }{100}$$

Answer

$$\dfrac{3\pi }{100}$$

Answer

$$\dfrac{5\pi }{200}$$

Question 3

Bird is flying in a circular manner with a speed of $$72km/hr$$.  What would be the angle formed at the centre in $$4$$ second if the radius is $$5$$ meters.

Accepted Answer

$$16$$ radian

Answer

$$18$$ radian

Answer

$$12$$ radian

Answer

$$16$$ degree

Question 4

A boy is moving a stone in a circular arrangement with the speed of $$5m/s$$ and radius of circle is $$7cm$$. Then value of angle at the centre at $$3$$ sec is

Accepted Answer

$$\dfrac{1500}{7}$$ radian

Answer

$$\dfrac{700}{15}$$ degree

Answer

$$\dfrac{15}{700}$$ radian

Answer

$$\dfrac{7}{15}$$ radian

Question 5

If the radian is $$12$$, what is the length of the pendulum with the speed of $$6m/s$$ in $$5\sec $$.

Accepted Answer

$$\dfrac{5}{2}$$ $$cm$$

Answer

$$\dfrac{5}{2}$$ $$m$$

Answer

$$\dfrac{2}{5}$$ $$cm$$

Answer

$$\dfrac{2}{5}$$ $$m$$