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The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.?
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The cycling track is around the Football ground that is of rectangular...
Problem Analysis
The problem describes a cycling track of rectangular shape with semi-circular shape on both sides. The perimeter of the inner rectangular ground is given as 496 m and the length of each inner semi-circular shape is 154 m. The width of the track is 7 m. We have to calculate the total length of the cycling track.
Solution
To find the total length of the cycling track, we need to add the length of the inner rectangular ground, the length of the two semi-circular shapes, and the width of the track on both sides.
Length of the Inner Rectangular Ground
The perimeter of the inner rectangular ground is given as 496 m. The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width of the rectangle. We can rearrange this formula to find the length of the rectangle as l = (P - 2w)/2. Substituting the values, we get l = (496 - 2*7)/2 = 241 m.
Length of the Inner Semi-Circular Shapes
The length of each inner semi-circular shape is given as 154 m. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. The radius of each semi-circular shape can be found by dividing the length by π and then by 2. So, r = 154/(π*2) = 24.57 m. The length of each semi-circular shape is given by the formula L = πr, which gives L = π*24.57 = 77.28 m.
Total Length of the Cycling Track
The total length of the cycling track is obtained by adding the length of the inner rectangular ground, the length of the two semi-circular shapes, and the width of the track on both sides. So, the total length is given by L = 2*(241 + 77.28) + 2*7 = 553.56 m.
Final Answer
The total length of the cycling track is 553.56 m.
Community Answer
The cycling track is around the Football ground that is of rectangular...
1.23246
2.248m
3.7/22
4.4410m²
5.4000 rounds
2.248m
3.7/22
4.4410m²
5.4000 rounds
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The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.?
Question Description
The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.?.
The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.?.
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The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.?, a detailed solution for The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.? has been provided alongside types of The cycling track is around the Football ground that is of rectangular shape with semi-circular shape on both side. The perimeter of the inner rectangular ground is 496 m. The inner semi-circular shape on both side has a length of 154 m each (from A to I to J or from C to L to D). The width of the track is 7 m.? theory, EduRev gives you an
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