Explanation Given: Radius of the inner circle is 30 m . Perimeter of outer edge of the track is 514 m . …… (1) Formula used: area of semicircle= π r 2 2 , where r is the radius. area of rectangle= l × b , where l and b are the length and width. The radius of the outer circle be r . For the perimeter of the outer track, perimeter of the outer track = 2 × 100 + ( perimeter of outer circle ) From (1), 200+2 π r = 514 Therefore, r = 314 2 π = 49.974 For length of the field, Length = 100 + 2 × r = 100 + 99.949 = 199.949 Now, Width = 2 × r Therefore, Width = 2 × 49.97 = 99.949 For the area of the rectangular field. Area = Length×Width = 199 .949×99 .949 = 19,984 .82 m 2 Now for the area to be grassed calculate area of the track. Area of 1 semicircular part is the difference of area of outer semicircle and area of inner semicircle

6th Edition

ISBN: 9780321916600

Author: Mark Dugopolski

Publisher: PEARSON

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Chapter 1.2, Problem 66E

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To calculate: The area of the land for grassing if the area inside and outside the track is grassed where, the radius of the inner circle is 30 m.

And the perimeter of outer edge of the track is 514 m.

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Chapter 1.2, Problem 65E

Chapter 1.2, Problem 67E

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The area of the land for grassing if the area inside and outside the track is grassed where, the radius of the inner circle is 30 m . And the perimeter of outer edge of the track is 514 m .

Solution Summary: The author calculates the area of the land for grassing based on the following formula: radius of inner circle, perimeter of outer track, length, width, etc.

Videos

To calculate: The area of the land for grassing if the area inside and outside the track is grassed where, the radius of the inner circle is 30 m.

And the perimeter of outer edge of the track is 514 m.

Want to see the full answer?

Chapter 1 Solutions

The area of the land for grassing if the area inside and outside the track is grassed where, the radius of the inner circle is 30 m . And the perimeter of outer edge of the track is 514 m .

Solution Summary: The author calculates the area of the land for grassing based on the following formula: radius of inner circle, perimeter of outer track, length, width, etc.

Videos

To calculate: The area of the land for grassing if the area inside and outside the track is grassed where, the radius of the inner circle is 30 m. And the perimeter of outer edge of the track is 514 m.

Want to see the full answer?

Chapter 1 Solutions

To calculate: The area of the land for grassing if the area inside and outside the track is grassed where, the radius of the inner circle is 30 m.

And the perimeter of outer edge of the track is 514 m.