The diagram shows two circles, with centres $A$ and $B$, each of radius $5$ cm, touching each

Question

The diagram shows two circles, with centres $A$ and $B$, each of radius $5$ cm, touching each other externally at $X$. Both of them touch another bigger circle, with centre $O$ and radius $13$ cm, internally at $D$ and $C$ respectively. Show that $\angle COD$ is $1.35$ radians. Calculate the perimeter and the area of the shaded region.

Accepted Answer

(a) $1.35$ rad (b)(i) $40.0$ cm (b)(ii) $26.7\text{ cm}^2$

IP2U13 13.4 PN1 Q12

IP2U13 13.4 PN1 Q12

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