Question : The circumference of a circle is 132 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$)
Option 1: 1380 cm2
Option 2: 1322 cm2
Option 3: 1086 cm2
Option 4: 1386 cm2
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Correct Answer: 1386 cm2
Solution : Given: The circumference of a circle is 132 cm. Let the radius of the circle = $r$ cm We know, The circumference of a circle = $2\pi r$ Here, $2\pi r =132$ $⇒2×\frac{22}{7}×r=132$ $⇒r=132×\frac{1}{2}×\frac{7}{22}$ $⇒r=21$ cm Now, the area of the circle = $\pi r^2$ = $\frac{22}{7}×21×21$ = $1386$ cm2 Hence, the correct answer is 1386 cm2.
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Question : A copper wire is bent in the form of a square and it encloses an area of 30.25 cm2. If the same wire is bent to form a circle, then find the area of the circle. [Use $\pi=\frac{22}{7}$]
Option 1: 38.50 cm2
Option 2: 42.25 cm2
Option 3: 35 cm2
Option 4: 30.25 cm2
Question : If a right circular cone of height 24 cm has the circumference of its base 42$\pi$ cm, then the volume of the cone is: (Use $\pi=\frac{22}{7}$)
Option 1: 15211 cm3
Option 2: 11088 cm3
Option 3: 12034 cm3
Option 4: 21011 cm3
Question : The perimeter of a minor sector of a circle of radius 5 cm is 15.5 cm. Find the area of the minor sector (use $\pi=\frac{22}{7}$ ).
Option 1: 17.53 cm2
Option 2: 13.75 cm2
Option 3: 13.57 cm2
Option 4: 17.35 cm2
Question : Find the area of the circle whose circumference is 22 cm.
Option 1: 38.5 cm2
Option 2: 42 cm2
Option 3: 30 cm2
Option 4: 77 cm2
Question : Two parallel lines touch the circles at P and Q. The area of the circle is 154 cm2. Find the length of PQ (Take $\pi=\frac{22}{7}$)
Option 1: 85.2 cm
Option 2: 14 cm
Option 3: 7 cm
Option 4: 77 cm
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