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### Grade 7 - Mathematics9.12 Length of the Sector

 Example: The radius of a circle is 28 cm, an arc AB subtends an angle of 75° at the centre O. Find the length of the arc AB. Solution: Given that, r = 28 cm and x° = Ð AOB = 75°. The length of arc AB = x°/360 * 2pr = 75/360 * 2 * 22/7 * 28 = 13200/360 = 110/3 = 36 2/3 cm. Directions: Read the above example carefully and answer the following questions. Illustrate the above example by drawing 10 different circles.
 Q 1: The radius of a circle is 'x' cm, an arc AB subtends an angle of 240° at the centre O. Find 'x' if the length AB is given by 29.32 cm .2 cm7 cm8 cm6 cm Q 2: The radius of a circle is 'y' cm, an arc AB subtends an angle of 60 ° at the centre O. Find 'y' if the length of the arc AB is given by 17.6 cm.15.62 cm16.81 cm17.52 cm18.63 cm Q 3: The radius of a circle is 21cm, an arc AB subtends an angle at the centre O. Find the angle if length of the arc AB is given by 27.5 cm.75°70°55°65° Q 4: The radius of a circle is 8.4 cm, an arc AB subtends an angle of 135° at the centre O. Find the length of the arc AB.18.8 cm19.8 cm29.8 cm12.8 cm Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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