Question

*Lenghth of chord of a circle is 16 cm. If distance of the chord from the center is 6 cm, then the radius of that circle is dash cm.

1️⃣ 10
2️⃣ 15
3️⃣ 12
4️⃣ 13​

Answer 1

Given :- Length of chord of a circle is 16 cm. If distance of the chord from the center is 6 cm, then the radius of that circle is dash cm.

1️⃣ 10

2️⃣ 15

3️⃣ 12

4️⃣ 13

Answer :-

we know that,

• Line from centre to the chord bisect the chord at right angle .

so, let radius of the circle is r cm .

then, by pythagoras theorem we get,

→ radius = √(Chord/2)² + (distance from centre)²

→ r = √(16/2)² + (6)²

→ r = √(8)² + (6)²

→ r = √(64 + 36)

→ r = √100

→ r = 10 cm (1) (Ans.)

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