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A circle is inscribed in a quadrilateral ABCD touching AB BC...

This question belongs to Arithmetic Ability Geometry
Geometry
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A circle is inscribed in a quadrilateral ABCD touching AB, BC, CD and AD at the points P, Q, R and S, respectively, and ∠B = 90°. If AD = 24 cm, AB = 27 cm and DR = 6 cm, then what is the circumference of the circle?

Answer & Solution
Correct Answer: Option B
Geometry mcq question image
In $$\square $$ POQB,
PBOQ is a square because
PB = BQ
PB = OQ
So,
BQ = OQ = OP = r
Circumference = 2πr = 2π × 9 = 18π
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