10th Class Mathematics Areas Related to Circles Question Bank MCQs - Areas Related to Circles

In a circle of radius \[\text{35 cm}\] an arc subtends an angle of \[30{}^\circ \]at the centre. The Length of the arc is:

A) \[\frac{11}{21}\,cm\]

B) \[\frac{55}{3}\,cm\]

C) \[\frac{55}{21}\,cm\]

D) None of these

Correct Answer: B

Solution :

[b] Given; radius of circle \[(r)=35\,cm\]

and central angle \[(\theta )=30{}^\circ \]

\[\therefore \] Length of \[arc=\frac{\theta }{360{}^\circ }\times 2\pi r\]

\[=\frac{30{}^\circ }{360{}^\circ }\times 2\times \frac{22}{7}\times 35=\frac{55}{3}cm\]