A hand fan is made up of cloth fixed in between the metallic wires, It is in the shape of a sector of a circle of radius 21 cm and of angle 120° as shown in the figure. Calculate the area of the cloth used and also find the total length of the metallic wire required to make such a fan.
120°
21 cm
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2
Answer:
The dimensions of equal strips are 25 cm, 25 cm and 14 cm.
Then area of each strip=
s(s−a)(s−b)(s−3)
=
32(32−25)(32−25)(32−14)
=
32×7×7×18
=168
Then total the area of each type of paper needed=168×5=840cm
2
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