Q. 15.0( 1 Vote )

# Write the proper

Answer :

(1). We have been given: radius = 42 cm

We need to find: diameter = ?, circumference = ? and area = ?

We have To find diameter:

Diameter = 2 × radius

diameter = 2 × 42 = 84 cm

To find circumference:

Circumference = 2πr, where r = radius

Circumference Circumference To find area:

Area = πr2, where r = radius

Area Area Thus, diameter = 84 cm, circumference = 264 cm & area = 5544 cm2.

(2). Given: diameter = 9.8 m

We need to find: radius = ?, circumference = ? & area = ?

We have To find radius:

Radius = diameter/2

radius = 9.8/2 = 4.9 m

To find circumference:

Circumference = 2πr, where r = radius

Circumference Circumference To find area:

Area = πr2, where r = radius

Area Area Thus, diameter = 4.9 m, circumference = 30.8 m & area = 75.46 m2.

(3). Given: circumference = 44 m

We need to find: radius = ?, diameter = ? & area = ?

To find radius:

If circumference = 44 m

2πr = 44 [, circumference of circle = 2πr, where r = radius]   radius = 7 m …(i)

To find diameter:

Diameter = 2 × radius

diameter = 2 × 7 = 14 m [from (i)]

To find area:

Area = πr2 [from (i)]

Area = 22 × 7 = 154 m2

Thus, radius = 7 m, diameter = 14 m & area = 154 m2.

(4). Given: area = 616 cm2

We need to find: radius = ?, diameter = ? & circumference = ?

To find radius:

If area = 616 cm2

πr2 = 616 [, area of circle = πr2, where r = radius]   r = √196 = 14 cm …(i)

To find diameter:

Diameter = 2 × radius

diameter = 2 × 14 = 28 cm

To find circumference:

Circumference = 2πr, where r = radius

Circumference Circumference Thus, radius = 14 cm, diameter = 28 cm and circumference = 88 cm.

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