1.

Find the diameter of a circle whose circumference is(i) 12.56 cm(ii) 88 m(iii) 11.0 km

Answer»

(i) Given circumference, C = 12.56 cm

We know that the circumference of the circle = 2 π r

Therefore radius, r = C/2 π

r = (12.56 × 7)/ (2 × 22)

r = 87.92/ 44

r = 1.99 cm

But diameter = 2r

= 2 × 1.99 = 3.99 cm

(ii) Given circumference, C = 88 m

We know that the circumference of the circle = 2 π r

Therefore radius, r = C/2 π

r = (88 × 7)/ (2 × 22)

r = 616/ 44

r = 14 m

But diameter = 2r

= 2 × 14 = 28 m

(iii) Given circumference, C = 11.0 km

We know that the circumference of the circle = 2 π r

Therefore radius, r = C/2 π

r = (11 × 7)/ (2 × 22)

r = 77/ 44

r = 1.75 km

But diameter = 2r

= 2 × 1.75 = 3.5 km



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