Question

61.) Find the diameter of a circle whose area is 176 m2.
(A) 2√14
(B) 14√7
(C) 14√2
(D) 14√10
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Answer 1

Step-by-step explanation:

Full solution in picture

Answer 2

Answer :-

• The diameter of the circle whose area is 176m² is 2√56.

Step-by-step explanation:

To Find :-

• The diameter of circle

Solution:

Given,

• Area of circle = 176m²

As we know that,

Area of circle = π(r)² sq. units,

=> π(r)² = 176

=> π × r² = 176

=> 22/7 × r² = 176

=> r² = 176 × 7/22

=> r² = 1232/22

=> r² = 56

=> r = √56

Therefore, The radius of circle is √56.

Now, diameter of circle,

As we know that,

Diameter of circle = 2 × radius,

=> Diameter = 2 × √56

=> Diameter = 2√56

Hence,

• The diameter of circle is 2√56.

Formulas used :-

• Area of circle = π(r) sq. units
• Diameter of circle = 2r