If the circumference of a circular sheet is 154m, then find it's radiu

1.	If the circumference of a circular sheet is 154m, then find it's radius also find it's area
Answer» Answer : RADIUS = 24.5 m Area = 1886.5 m² S O L U T I O N : Given, The CIRCUMFERENCE of a CIRCULAR sheet is 154m. To Find, The radius and area of a circular sheet. Explanation, CASE (I), Radius of a circular sheet. We know that, Circumference of a cylinder sheet = 2πr ⇒ 154 = 2 × 22/7 × r ⇒ 154 = 44/7 × r ⇒ r = 154 × 7/44 ⇒ r = 3.5 × 7 ⇒ r = 24.5 m Case (II), Area of a circular sheet. We know that, Area of a circular sheet = πr² ⇒ Area = 22/7 × (24.5)² ⇒ Area = 22/7 × 24.5 × 24.5 ⇒ Area = 22 × 3.5 × 24.5 ⇒ Area = 22 × 85.75 ⇒ Area = 1886.5 m² Therefore, The radius and area of a circular sheet is 24.5 m and 1886.5 m² respectively.

If the circumference of a circular sheet is 154m, then find it's radius also find it's area

Answer»

Given,

To Find,

Explanation,

CASE (I), Radius of a circular sheet.

We know that,

Circumference of a cylinder sheet = 2πr

⇒ 154 = 2 × 22/7 × r

⇒ 154 = 44/7 × r

⇒ r = 154 × 7/44

⇒ r = 3.5 × 7

⇒ r = 24.5 m

Case (II), Area of a circular sheet.

We know that,

Area of a circular sheet = πr²

⇒ Area = 22/7 × (24.5)²

⇒ Area = 22/7 × 24.5 × 24.5

⇒ Area = 22 × 3.5 × 24.5

⇒ Area = 22 × 85.75

⇒ Area = 1886.5 m²

The radius and area of a circular sheet is 24.5 m and 1886.5 m² respectively.