6. The circumference of a circle exceeds its radius by 37 cm. Find the diameter of the circle.
(Use π=22/7)
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Answer:
ket r cm is the radius of the circle
so diameter =2r cm
circumference=2πr cm
according to question ,
2πr=r+37
=> 2πr-r=37
=> r(2π-1)=37
=> r(2×22/7-1)=37
=> r(44-7)/7=37
=> r(37/7)=37
=> r=37×7/37=7
=> 2r=7×2=14
diameter if the circle is 14 cm
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