Question : The circumference of the two circles is 264 m and 308 m respectively. What is the difference between the area of the larger circle and the smaller circle?
Option 1: 2002 m2
Option 2: 2010 m2
Option 3: 1890 m2
Option 4: 1990 m2
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Correct Answer: 2002 m2
Solution : Let the radius of 1st circle be $r_1$. Circumference of 1st circle = 264 So, $2\pi r_1=264$ ⇒ $2\times \frac{22}{7}\times r_1 = 264$ ⇒ $r_1=42$ Let the radius of 2nd circle be $r_2$. Circumference of 2nd circle = 308 So, $2\pi r_2=308$ ⇒ $2\times \frac{22}{7}\times r_2 = 308$ ⇒ $r_2=49$ Difference in area = $\pi (r_2^2-r_1^2)$ = $\pi (49^2-42^2)$ = $\frac{22}{7}\times (49-42)(49+42)$ = $\frac{22}{7}\times7\times 91$ = $2002$ m2 Hence, the correct answer is 2002 m2.
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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
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 : The difference between the circumference and diameter of a circle is 150 m. The radius of that circle is:
Option 1: 25 m
Option 2: 35 m
Option 3: 30 m
Option 4: 40 m
Question : Two circles of radii 12 cm and 13 cm are concentric. The length of the chord of the larger circle which touches the smaller circle is:
Option 1: 8 cm
Option 2: 18 cm
Option 3: 10 cm
Option 4: 12 cm
Question : Find the area of a circle whose radius is equal to the side of a square whose perimeter is 196 m.
Option 1: 7457 m2
Option 2: 7546 m2
Option 3: 6477 m2
Option 4: 8844 m2
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