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A running track has a rectangular middle section and two semi-circular ends. The length of the straight sides is 110 m and the diameter of the semi-circles is 70 m. Calculate the perimeter and area of
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3 stepsIdentify the dimensions of the running track.
The running track consists of a rectangular middle section and two semi-circular ends.
The length of the straight sides (length of the rectangle) is m.
The diameter of each semi-circle is m.
The radius of each semi-circle is m.
The width of the rectangular section is equal to the diameter of the semi-circles, m.
Use .Calculate the distance round the field (perimeter).
The distance round the field is the sum of the lengths of the two straight sides and the circumference of the two semi-circular ends. The two semi-circular ends together form a full circle.
Perimeter
The circumference of a full circle is .Substitute the given values:
The distance round the field is .
Calculate the area of the field.
The area of the field is the sum of the area of the rectangular middle section and the area of the two semi-circular ends. The two semi-circular ends together form a full circle.
Area
The area of the rectangle is .
The area of a full circle is .Substitute the given values:
The area of the field is .
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