Area of sector is 17.584 meters
<em><u>Solution:</u></em>
Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m
Diameter = 12 m
Radius = Diameter / 2 = 6 m
An angle of 56 degrees is the fraction of the whole rotation
A sector of a circle with a sector angle of 56 degrees is therefore also the fraction of the circle
The area of the sector will therefore also be of the area
Thus area of sector is 17.584 meters
He will need 12 sq. inches of Paper for each rhombus.
Given: 6 inches tall and 4 inches wide.
so, Length of the diagonals are 6 and 4 inches respectively.
Refer to figure.
The two diagonals cuts the rhombus into four equal parts, so
Area of one rhombus = 4 x (area of 1 part of the rhombus)
Now,
Area of 1 part of the rhombus = x 3 x 2
= 3 sq. inches
Area of one rhombus = 4 x 3 = 12 sq. inches
Hence, 12 sq. inches of Paper is needed for each rhombus.
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