PQ is a tangent drawn at a point P to a circle with centre O. OQ intersects the circle at R such that OR=RQ. If PQ = 3√3cm, find the radius of the circle .
Answers
Answered by
2
Given : PQ is a tangent drawn at a point P to a circle with centre O
OQ intersects the circle at R such that OR=RQ
PQ = 3√3cm
To Find : the radius of the circle
Solution:
OR = RQ
OQ = OR + RQ
=> OQ = OR + OR
=> OQ = 2OR
OR = OP ( Radius)
PQ is tangent
=> PQ² + OP² = OQ²
PQ = 3√3
OQ = 2OP
=> (3√3)² + OP² = (2OP)²
=> 18 + OP² = 4OP²
=> 3OP² = 18
=> OP² = 6
=> OP = √6
radius of the circle . = √6
Learn More:
draw a pair of tangents to a circle of radius 5cm which are inclined to ...
brainly.in/question/12202647
If ab is a tangent drawn from an point b to a circle with centre c qnd ...
brainly.in/question/13581846
draw a circle of radius 4 cm and construct a pair of tangent to the ...
brainly.in/question/12219859
Similar questions