General Formula Derivation
Q1. Find the length of an arc which subtends an angle of 120˚ at the centre of a circle with radius 10 cm.
Q2. Find the perimeter of the sector of an arc which subtends an angle of 160˚ at the centre of a circle with radius 10 cm.
Q3. A sector of a circle of radius 8 cm has an area of 28 cm2. Find the angle subtended at the centre of the circle.
Q4. The length of the minor arc AB of a circle O is 3 cm and the length of the major arc is 9. Find the radius and the acute angle AOB.
Q5. The length of an arc of a circle is 10 cm. The corresponding sector area is 50 cm2. Find the radius of the circle.
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