Question
Download Solution PDFThe following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question.
Find the radius of a circle. Use π = 22/7.
I) The circumference of the circle is equal to 44 cm.
II) The area of the circle is equal to that of a rectangle with length 14 cm.
III) The breadth of the rectangle is 11 cm.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the radius of the circle be ‘r’ cm
Considering statement (I),
Circumference of circle = 2πr
⇒ 2 × 22/7 × r = 44
⇒ r = 7 cm
Considering statement (II) and (III),
Area of circle = area of rectangle = length × breadth
⇒ π r2 = 14 × 11
⇒ (22/7) r2 = 154
⇒ r2 = 49
⇒ r = 7 cm
∴ The question can be answered using either (I) or (II) and (III)Last updated on Jun 2, 2025
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