Question : If the circumference of a circle is 220 cm, then what is its radius?
Option 1: 26 cm
Option 2: 25 cm
Option 3: 35 cm
Option 4: 40 cm
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Correct Answer: 35 cm
Solution : Let the radius of the circle be $r$. Circumference of circle = $2\pi r$ ⇒ $220=2 × \frac{22}{7} × r$ ⇒ $r=\frac{220×7}{22 × 2}$ $\therefore r=35$ cm Hence, the correct answer is 35 cm.
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Question : A 15 cm long perpendicular is drawn from the centre of a circle to its 40 cm long chord. Find the radius of the circle.
Option 1: 25 cm
Option 2: 27 cm
Option 3: 22 cm
Option 4: 20 cm
Question : If the length of a chord drawn at a distance of 21 cm from the centre of a circle is 40 cm, the radius (in cm) of the circle is:
Option 1: 29
Option 2: 21
Option 3: 25
Option 4: 20
Question : The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 7 cm, what is the length of the side of the equilateral triangle?
Option 1: $\frac{22}{3}$ cm
Option 2: $\frac{44}{3}$ cm
Option 3: $44$ cm
Option 4: $22$ cm
Question : The area of a sector of a circle is 110 cm2 and the central angle of the sector is 56°, what is the circle's radius? (Take $\pi=\frac{22}{7}$)
Option 1: 35 cm
Option 2: 20 cm
Option 3: 25 cm
Option 4: 15 cm
Question : The slant height and radius of a right circular cone are in the ratio 29 : 20. If its volume is $4838.4 \pi ~\mathrm{cm}^3$, then its radius is:
Option 1: 28 cm
Option 4: 24 cm
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