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How to find diameter of semicircle from piece of wire |
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Answer» example Diameter of the SEMI - circle is 0.56 m or 56 cm. Step-by-step explanation: It is GIVEN that the total length of the piece of WIRE is 144 cm, which can't be changed. Thus, if the piece of wire is converted into a semicircle, its circumference can't be changed. Hence, = > Circumference of semi - circle = 144 cm ======================== From the properties of circle, we know : - Circumference of semi-circle = ( 1 / 2 πd ) + d ======================= Hence, ⇒ ( 1 / 2 πd + d ) = 144 cm = > d( 11 / 7 + 1 ) = 144 cm = > d x 18 / 7 = 144 cm = > d = 144 cm x 7 / 18 = > d = 56 cm = > d = 56 x ( 1 / 100 ) m = > d = 0.56 m Hence, Diameter of the semi - circle is 0.56 m or 56 cm.Step-by-step explanation: |
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