A circle has centre O and radius 8 cm. A point P is such that OP = 17 cm. Two tangents are drawn from P touching the circle at A and B. Find the perimeter of quadrilateral OAPB (O, A, P, B) in cm.

Question

Accepted Answer

46. PA = PB = √17^2 - 8^2 = √289 - 64 = √225 = 15 cm. Perimeter = OA + AP + PB + BO = 8 + 15 + 15 + 8 = 46 cm.

A circle has centre O and radius 8 cm. A point P is such that OP = 17 cm.
Two tangents are drawn from P touching the circle at A and B.
Find the perimeter of quadrilateral OAPB (O, A, P, B) in cm.

Step-by-Step Solution

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More Class 10 Number of Tangents from a Point practice

A circle has centre O and radius 8 cm. A point P is such that OP = 17 cm.Two tangents are drawn from P touching the circle at A and B.Find the perimeter of quadrilateral OAPB (O, A, P, B) in cm.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Number of Tangents from a Point practice

A circle has centre O and radius 8 cm. A point P is such that OP = 17 cm.
Two tangents are drawn from P touching the circle at A and B.
Find the perimeter of quadrilateral OAPB (O, A, P, B) in cm.