Question

If the area of a circle is 2464 m², find its diameter,

Answer 1

Answer:

Given that ;

Area of the Circle ( A ) = 2464 m²

Diameter of the Circle ( d ) = ?

Formula :

Area of the Circle ( A ) = π r²

A = 22 / 7 × r²

2464 × 7 = 22 × r²

17248 / 22 = r²

r² = 17248 / 22

r² = 784

r = √784

Hence ;

r = 28

Diameter of the Circle ( d ) = 2r

2 × 28

56m

Hence ;

Diameter of the Circle ( d ) = 56 m

Answer 2

Answer:

Given = The area of a circle= 2464 m²

To find = The diameter of the circle

Solution:

Area of a circle = π×r²

Inserting the values,

2464 = 22/7 x r²

=  2464 x 7/22 (as the sides are interchanged)   = r²

= 784 = r²

= √784 = r

∴ 28 = r

Now, diameter = 2 x radius

diameter = 2 x 28

∴ Diameter = 56 m

Step-by-step explanation:

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