Review question

# What's the area of this square if it sits in this sector? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6164

## Question

$ABCD$ is a square lying symmetrically inside a sector of a circle whose radius is $\quantity{1}{in.}$, the angle of the sector being $60^\circ$. $A$ and $B$ lie on the straight boundaries, $C$ and $D$ on the curved boundary. Calculate:

1. the length of the arc $CD$,
2. the area $ABCD$,
3. the area of the minor segment of the circle cut off by the chord $CD$.

[Answers to (i) and (iii) may be left in terms of $\pi$.]