Question : If the arc of a circle of radius 30 cm has a length of 19 cm, then the angle (in degrees, rounded off to two decimal places) subtended at the centre of the circle is: (Take $\pi=\frac{22}{7}$)
Option 1: 51.25
Option 2: 16.27
Option 3: 36.27
Option 4: 46.25
Correct Answer: 36.27
Solution : Given: Length of the arc of a circle = 19 cm Radius = 30 cm We know that, Length of the arc = $\frac{\theta}{360^\circ}\times 2 \pi r$ ⇒ $19= \frac{\theta}{360^\circ}\times 2 \times\frac{22}{7}\times 30$ ⇒ $\theta=\frac{19\times7 }{2\times 22\times 30}\times 360^\circ$ ⇒ $\theta=36.27^\circ$ Hence, the correct answer is 36.27.
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Question : A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. ( Use $\pi=\frac{22}{7}$)
Option 1: 32 cm
Option 2: 35 cm
Option 3: 28 cm
Option 4: 36 cm
Question : In a circle of radius 42 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc. $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 44 cm
Option 2: 21 cm
Option 3: 22 cm
Option 4: 42 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
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 : If the perimeter of the circle is 13.2 cm, then the radius of the circle is___________. $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 6.6 cm
Option 2: 4.2 cm
Option 3: 2.1 cm
Option 4: 3.3 cm
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