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Question

Complete the table below
Sr. No. Radius (r) Diameter (d) Circumference (c)
(i) 7 cm .................... .................
(ii) ............ 28 cm ..............
(iii) .............. ............... 616 cm
(iv) ........... ............. 72.6 cm

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Solution


(i) Radius, r = 7 cm
Diameter, d = 2r = 2 × 7 = 14 cm
∴ Circumference, c = πd
= 227 × 14
= 22 × 2
= 44 cm

(ii) Diameter, d = 28 cm
Radius, r = d2 = 282 = 14 cm
∴ Circumference, c = 2πr
= 2 × 227 × 14
= 88 cm

(iii) Circumference, c = 616 cm
Now, c = 2πr (where 'r' is the radius)
⇒616 = 2 × 227 × r
⇒r = 616 × 12 × 722
⇒r = 98
So, radius = 98 cm
Diameter, d = 2r = 2 × 98 = 196 cm

(iv) Circumference, c = 72.6 cm
Now, c = 2πr (where 'r' is the radius)
⇒72.6 = 2 × 227 × r
⇒r = 72.6 × 12 × 722
⇒r = 11.55
So, radius = 11.55 cm
Diameter, d = 2r = 2 × 11.55 = 23.1 cm

The complete table is shown below.
Sr. No. Radius (r) Diameter (d) Circumference (c)
(i) 7 cm 14 cm 44 cm
(ii) 14 cm 28 cm 88 cm
(iii) 98 cm 196 cm 616 cm
(iv) 11.55 cm 23.1 cm 72.6 cm

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