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Construction of a Circle of Given Radius Video Lecture - Class 6

FAQs on Construction of a Circle of Given Radius Video Lecture - Class 6

1. What is the construction method for a circle of a given radius?

Ans. To construct a circle of a given radius, we need to follow these steps: 1. Take a compass and set its width to the given radius. 2. Place the compass at a point and draw an arc with the compass as the center. 3. Without changing the compass width, place the compass at another point on the arc and draw another arc. 4. Repeat this process until the arcs intersect at multiple points. 5. Connect these points to form a circle.

2. How can I find the center of the circle using this construction method?

Ans. The center of the constructed circle can be found by following these steps: 1. Take any two points on the circle. 2. Place the compass at one of the points and draw an arc that intersects the circle at two different points. 3. Repeat the same process with the other point, drawing another arc that intersects the circle at two different points. 4. The intersection point of these arcs is the center of the circle.

3. Can I construct a circle of any radius using this method?

Ans. Yes, this construction method can be used to construct a circle of any given radius. The compass width is adjusted to match the given radius, and the construction process remains the same.

4. Are there any other methods to construct a circle of a given radius?

Ans. Yes, there are other methods to construct a circle of a given radius, such as using a compass and a ruler or using specific geometric constructions. However, the method mentioned in the article is one of the most common and straightforward methods.

5. What are some practical applications of constructing circles of a given radius?

Ans. Constructing circles of a given radius is essential in various fields, including architecture, engineering, and design. It is used in the layout of buildings, planning road networks, designing roundabouts, creating circular objects in manufacturing, and many other applications where precise circles are required.

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Jan 08, 2025 Last updated

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