Question

The following is a table of values connecting radii of a few circles and their circumferences (taking π=22/7)

Illustrate the relation with a graph and find

1.The radius when the circumference is 242 units.

2.The circumference when the radius is 24.5 units.

Radius(r) circumference (2πr)
7 2 × 22/7 = 44
14 2 × 22/7 = 88
21 2 × 22/7 = 132
28 2 × 22/7 =176
35 2 × 22/7 = 220
42 2 × 22/7 = 264
49 2 × 22/7 = 308

{Answer resembles like a this picture}

*But I can't understand please explain by draw a graph as answer for this question.*

"Write answer will put as BRAINLIEST ANSWER and I give 50 marks."​

Answer 1

Answer:

(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