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
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From the properties of circle, we know : -
Circumference of semi-circle = ( 1 / 2 πd ) + d
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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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