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Area of a Segment of a Circle

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Question

Two cars start from the opposite places of a main road , 150 km apart . First car runs for 25 km and takes a right turn and then runs 15 km . It then turns left and then runs for another 25 km and then takes the direction back to reach the main road . In the mean time , due to minor breakdown , the other car has run only 35 km along the main road . What should be the distance between the two cars at this point ?

A

65 km

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B

75 km

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C

80 km

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D

85 km

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Solution

The correct option is A 65 km
The distance between the two cars is given by PQ , which can be found out as shown below.
The required distance is 65 km .

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