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