Question : The circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$ )
Option 1: 1078 cm2
Option 2: 616 cm2
Option 3: 536 cm2
Option 4: 346.5 cm2
Correct Answer: 616 cm2
Solution : The circumference of a circle = $2\pi r$, where $r$ is the radius of the circle. Diameter = $2r$ According to the question $2\pi r - 2r = 60$ ⇒ $2r(\frac{22}{7} – 1) = 60$ ⇒ $r \times \frac{15}{7} = 30$ ⇒ $r = 14$ Now, the area of the circle = $\pi r^2$ = $\frac{22}{7} \times 14 \times 14$ = 616 cm2 Hence, the correct answer is 616 cm2.
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Question : The perimeter of a sheet of paper in the shape of a quadrant of the circle is 75 cm. Its area would be $(\pi=\frac{22}{7})$
Option 1: 100 cm2
Option 2: 346.5 cm2
Option 3: 693 cm2
Option 4: 512.25 cm2
Question : The area of the base of a cone is 616 cm2. If its slant height is 20 cm, then what is the total surface area of the cone? [Use $\pi$ = $\frac{22}{7}$]
Option 1: 1352 cm2
Option 2: 1296 cm2
Option 3: 1496 cm2
Option 4: 1524 cm2
Question : The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm2. Its volume (in cm3) is: (Take $\pi=\frac{22}{7}$)
Option 1: 3080
Option 2: 1078
Option 3: 6160
Option 4: 9240
Question : The area of a circle is 1386 cm2. What is the radius of the circle? [Use $\pi= \frac{22}{7}$]
Option 1: 7 cm
Option 2: 14 cm
Option 3: 18 cm
Option 4: 21 cm
Question : The radius of a circle is 1.75 cm. What is the circumference of the circle? (Take $\pi=\frac{22}{7}$)
Option 1: 5.5 cm
Option 2: 11 cm
Option 3: 9.63 cm
Option 4: 22 cm
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