Question

Given a circle with centre o and the the smallest chord ab =3cm largest chord CD =10cm and chord pq =7cm find the radius of the circle

Answer 1

Answer:

largest chord in circle is diameter so CD is 10 and radius is half of diameter so radius is 10/2=5cm

Answer 2

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=$\frac{d}{2}$

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

Hence, the radius of circle=5 cm

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