Check the solution to "An oval track is made by enclosing semiricles..."

High School
Geometry
High school geometry
Circles

Dillard

Answered question

2021-08-08

An oval track is made by enclosing semiricles on each and of a 50 m by 100 m rectangle. Find the area enclosed by the track. Use 3.14 for x.

Answer & Explanation

l1koV

Skilled2021-08-09Added 100 answers

Area enclosed by the track = Area of the two semi circles + Area of the rectangle
Step 2
Area of each semi circle $= \frac{π r^{2}}{2} = \frac{3.14 {(25)}^{2}}{2}$
Area of two semi circles $= 2 \times \frac{3.14 {(25)}^{2}}{2} = 3.14 {(25)}^{2} = 1962.5 m^{2}$
Area of the rectangle $= (50) (100) = 5000 m^{2}$
Area enclosed by the track $= 1962.5 + 5000 = 6962.5 m^{2}$
Area enclosed by the track is $6962.5 m^{2}$

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