Geometry Practice Test 3

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Question : 20 of 40

Marks: +1, -0

If two equal circles whose centres O and O′, intersect each other at the points A and B, OO′ = 12 cm and AB = 16 cm. Then the radius of the circle is:

10 cm
8 cm
12 cm
14 cm

Solution:

In ΔOPA,

By Pythagoras theorem,

(OA)^2

=

(OP)^2+(AP)^2

(OA)^2

=

(6)^2+(8)^2

OA =

√{36+64}

r = OA = 10 cm.

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