Question

given a circle with centre o and the smaller chord AB of length=5cm and the longest chord CD of the circle of length=12cm.The radius of the circle is
a)15cm
b)6cm
c)5cm
d)3.5cm


please explain step by step ​

Answer 1

Answer:

The radius of circle=5 cm

Step-by-step explanation:

Length of smallest chord=AB=3 cm

Length of largest chord=CD=10 cm

Length of chord=PQ=7cm

We know that

Diameter which divides the circle into two equal parts and it is passing through the center of circle.

Chord is the distance between two points on the circle.

Diameter is also chord because it connect two points of boundary of circle.

Diameter is the largest chord of circle.

Diameter of circle,d=Length of largest chord=CD=10 cm

Radius of circle=\frac{d}{2}2d

Radius of circle=\frac{10}{2}=5 cm210=5cm

Hence, the radius of circle=5 cm

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