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A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys ankur, Syed, and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone?
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A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys anku...
Given information:
- The circular park has a radius of 20m.
- Three boys, Ankur, Syed, and David, are sitting at equal distances on the boundary of the park.
- Each boy has a toy telephone to talk to each other.
Objective:
Find the length of the string of each phone.
Approach:
To find the length of the string of each phone, we can consider the scenario as an equilateral triangle inscribed in a circle. The three boys will be at the vertices of the equilateral triangle, and the toy telephone string will be the side of the triangle.
Calculating the length of the side of the equilateral triangle:
1. The radius of the circular park is given as 20m.
2. In an equilateral triangle, all sides are equal in length.
3. The radius of the circle is also the distance from the center to any of the vertices of the equilateral triangle.
4. Therefore, the length of each side of the equilateral triangle is 20m.
Calculating the length of the string of each phone:
1. The length of the string of each phone is equal to the length of each side of the equilateral triangle.
2. From the previous calculations, we found that the length of each side of the equilateral triangle is 20m.
3. Hence, the length of the string of each phone is 20m.
Summary:
The length of the string of each phone is calculated to be 20m. This is based on the assumption that the three boys are sitting at equal distances on the boundary of the circular park, forming an equilateral triangle.
- The circular park has a radius of 20m.
- Three boys, Ankur, Syed, and David, are sitting at equal distances on the boundary of the park.
- Each boy has a toy telephone to talk to each other.
Objective:
Find the length of the string of each phone.
Approach:
To find the length of the string of each phone, we can consider the scenario as an equilateral triangle inscribed in a circle. The three boys will be at the vertices of the equilateral triangle, and the toy telephone string will be the side of the triangle.
Calculating the length of the side of the equilateral triangle:
1. The radius of the circular park is given as 20m.
2. In an equilateral triangle, all sides are equal in length.
3. The radius of the circle is also the distance from the center to any of the vertices of the equilateral triangle.
4. Therefore, the length of each side of the equilateral triangle is 20m.
Calculating the length of the string of each phone:
1. The length of the string of each phone is equal to the length of each side of the equilateral triangle.
2. From the previous calculations, we found that the length of each side of the equilateral triangle is 20m.
3. Hence, the length of the string of each phone is 20m.
Summary:
The length of the string of each phone is calculated to be 20m. This is based on the assumption that the three boys are sitting at equal distances on the boundary of the circular park, forming an equilateral triangle.
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A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys anku...
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A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys ankur, Syed, and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone?
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A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys ankur, Syed, and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys ankur, Syed, and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys ankur, Syed, and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone?.
A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys ankur, Syed, and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys ankur, Syed, and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A CIRCULAR PARK OF RADIUS 20m is situated in a colony. Three boys ankur, Syed, and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone?.
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