Discovering Mathematics Book 8>Chords and Angles of Circles>Equal Arcs Subtend Equal Angles at the Centre of a Circle.

Equal Arcs Subtend Equal Angles at the Centre of a Circle.

Author:Jose Paul

8th CBSE

IMPORTANT

Important Questions on Equal Arcs Subtend Equal Angles at the Centre of a Circle.

EASY

IMPORTANT

Discovering Mathematics Book 8>Chords and Angles of Circles>Equal Arcs Subtend Equal Angles at the Centre of a Circle.> Q 1

Two arcs $\overset{⏜}{P Q}$ and $\overset{⏜}{A B}$ subtend $70 °$ each at the centre of a circle. The length of the arc $\overset{⏜}{A B}$ is $14 cm$ . If the length of arc $\overset{⏜}{P Q}$ is $k cm$ , then find $k$ .

EASY

IMPORTANT

Discovering Mathematics Book 8>Chords and Angles of Circles>Equal Arcs Subtend Equal Angles at the Centre of a Circle.> Q 2

The length of two arcs $\overset{⏜}{A B}$ and $\overset{⏜}{C D}$ of a circle with centre $O$ is in the ratio $1 : 2$ . The measure of $∠ A O B$ is $60 °$ . If $∠ C O D = k °$ , then find the value of $k$ .