Question

If the distance between two parallel tangents of a circle is 15cm, what is the radius of the circle? ​

Answer 1

Answer:

O is the center of circle and tangents from point A and B are parallel

We know that the line joining point of contacts of two parallel tangents (here AB) passes through the center

And as a line from the center is perpendicular to tangent , hence that line (AB) will be the distance between parallel tangents

AB passes through center O hence AB is also the diameter of the circle

Hence the distance between the two parallel tangents will be the diameter of the circle

Radius is given 10cm

Hence diameter of circle = 2× radius

Hence AB = 2×10

⇒ AB = 20cm

Hence distance between parallel tangents is 20cm

might help you ✨✌

Answer 2

Answer:

7.5 cm

Step-by-step explanation:

Distance Between Parallel Tangents = Diameter Of the Circle

Diameter of the Circle = 15 cm

2 × Radius = 15 cm

Radius = 7.5 cm

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