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Find the degree measure of the angle subtended at the center of a circle of radius 100 cm by an arc of length 22 cm. (Useπ= 22/7 )/ |
Answer» <html><body><p>We know that in a circle of radius <a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a> <a href="https://interviewquestions.tuteehub.com/tag/unit-1438166" style="font-weight:bold;" target="_blank" title="Click to know more about UNIT">UNIT</a>, if an arc of length <a href="https://interviewquestions.tuteehub.com/tag/l-535906" style="font-weight:bold;" target="_blank" title="Click to know more about L">L</a> unitsubtends an angle θ radian at the centre, then θ= rl Therefore, for r=100 cm, l=22 cm, we haveθ= 10022 radian= π180 × 10022 degree= 22×100180×7×22 degree= 10126 degree=12 53 degree=12 ∘ <a href="https://interviewquestions.tuteehub.com/tag/36-309156" style="font-weight:bold;" target="_blank" title="Click to know more about 36">36</a> ′ ,[∵1 ∘ =60 ′ ]Step-by-step explanation:</p></body></html> | |