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Mathematics
11. Circles
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Q9 of 141 Page 464

Prove that a diameter is the largest chord in a circle.

We know that,


A chord nearer to the center is longer than the chord which is far from the center


∴ Diameter is the longest chord in the circle (because it passes through the center and other chords are far from the center)


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7

Prove that equal chords of a circle are equidistant from the centre.

8

Prove that an angle in a semicircle is a right angle.

10

A circle with centre O is given in which ∠OBA = 30° and ∠OCA = 40°. Find ∠BOC.

11

In the given figure, AOC is a diameter of a circle with centre O and arc arc BYC. Find ∠BOC.

Questions · 141
11. Circles
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