Find the diameter of each of the following circles, given their area.

(1) 1386 sq cm (2) 346.5 sq cm

(3) 3850 sq m (4) 301.84 sq m

(5) 24.64 sq m

(1). Given: Area of circle = 1386 cm²

To find diameter:

We know that, area is given by

Area = πr²

⇒ r² = Area/π

⇒

⇒

⇒ r = √441

⇒ r = 21

If radius, r = 21 cm

Then, diameter = 2r = 2 × 21

⇒ diameter = 42

Thus, diameter is 42 cm.

(2). Given: Area of the circle = 346.5 cm²

To find diameter:

We know that, area is given by

Area = πr²

⇒ r² = Area/π

⇒

⇒

⇒ r = √110.25

⇒ r = 10.5

If radius, r = 10.5 cm

Then, diameter = 2r = 2 × 10.5

⇒ diameter = 21

Thus, diameter is 21 cm.

(3). Given: Area of the circle = 3850 m²

To find diameter:

We know that, area is given by

Area = πr²

⇒ r² = Area/π

⇒

⇒

⇒ r = √1225

⇒ r = 35

If radius, r = 35 m

Then, diameter = 2r = 2 × 35

⇒ diameter = 70

Thus, diameter is 70 m.

(4). Given: Area of the circle = 301.84 m²

To find diameter:

We know that, area is given by

Area = πr²

⇒ r² = Area/π

⇒

⇒

⇒ r = √96.04

⇒ r = 9.8

If radius, r = 9.8 m

Then, diameter = 2r = 2 × 9.8

⇒ diameter = 19.6

Thus, diameter is 19.6 m.

(5). Given: Area of the circle = 24.64 m²

To find diameter:

We know that, area is given by

Area = πr²

⇒ r² = Area/π

⇒

⇒

⇒ r = √7.84

⇒ r = 2.8

If radius, r = 2.8 m

Then, diameter = 2r = 2 × 2.8

⇒ diameter = 5.6

Thus, diameter is 5.6 m.