Question

The radius of a circle is 30cm. Find the length of an arc of this circle if the length of chord of the arc is 30 cm.
(Hint: Triangle formed by the chord and the radius at it's end points will be equilateral)

Answer 1

Step-by-step explanation:

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Answer 2

The radius is 30 cm and also the chord is also 30 cm

So the triangle formed by the two radii and the chord of length 30 cm will be equilateral.

Now each of its angle will be 60

∘

which can also be written as

π/r

.

Now to find length of arc we have θ =

l/r

where l is length of arc .

implies l=θr

= 3/30π

=10π

=31.4cm

the approximate length of an arc of this circle=31.4cm

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