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A circle has radius 5 cm. Tangents PA and PB from P are 12 cm each. What is the area of quadrilateral OAPB?

Class 10Tangent Lengths and IncirclesGeometry

A $34 cm^{2}$
B $30 cm^{2}$
C $120 cm^{2}$
D $60 cm^{2}$

Step-by-Step Solution

OP splits OAPB into two congruent right triangles OAP and OBP, each of area

\frac{1}{2} \times 5 \times 12 = 30

cm

^{2}

. Total = 60 cm

^{2}

.

Answer: D)

60 cm^{2}

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Quadrilateral ABCD is drawn around a circle so that all four sides touch it. AB = 6 cm,…A parallelogram is drawn so that all four of its sides touch a circle. The parallelogram…A circle is inscribed in triangle ABC, touching AB at D, BC at E and CA at F. If AD = 4…The incircle of triangle ABC touches AB at D, BC at E and CA at F. AF = 3 cm, BD = 5 cm…Tangents PA and PB to a circle make ∠APB = 60°, and PA = 10 cm. How long is the chord AB?