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The diagram shows two circles, C 1 and C 2 , touching at the point T. Circle

Question:

The diagram shows two circles, C1 and C2, touching at the point T. Circle C1 has centre P and radius 8 cm; circle C2 has centre Q and radius 2 cm. Points R and S lie on C1 and C2 respectively, and RS is a tangent to both circles.


i. Show that RS = 8 cm.

ii. Find angle RPQ in radians correct to 4 significant figures.

iii. Find the area of the shaded region.

Transcribed Image Text:

8cm P R C₁ e 2cm S C₂

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Step by Step Answer:

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i Notice that the line segment PQ should bisect the angle between the tangents at R and S since it passes through the point of contact T Therefore we ...View the full answer


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