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What is the perimeter of a semi-circle? I. The radius of the semi- circle is equal to half the side of a square. II. The area of the square is 196 sq cm.

Q: What is the perimeter of a semi-circle? I. The radius of the semi- circle is equal to half the side of a square. II. The area of the square is 196 sq cm.

From Statement II. Suppose, side of a square be x. Hence, x2 = 196 ∴ x = 14 cm From Statements I and II, Radius of semi-circle, r = 7 cm ∴ Circumference of semi-circle πr = 22/7 x 7 = 22 cm Hence, both Statement are required .

If the data in Statement I alone are sufficient to answer the question while the data in Statement II alone are not sufficient to answer the question
If the data in Statement II alone are sufficient to answer the question while the data in Statement I alone are not sufficient to answer the question
If the data in Statement I alone or in Statement II alone are sufficient to answer the question
if the data in both the Statement I and II are not sufficient to answer the question

Correct Answer:

Explanation:

From Statement II.
Suppose, side of a square be x.
Hence, x² = 196
∴ x = 14 cm
From Statements I and II,
Radius of semi-circle, r = 7 cm
∴ Circumference of semi-circle
πr = 22/7 x 7 = 22 cm
Hence, both Statement are required .

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What is the perimeter of a semi-circle? I. The radius of the semi- circle is equal to half the side of a square. II. The area of the square is 196 sq cm.

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