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Radius of a circle is 10 cm and distance of a chord from the centre is 6 cm. Length of Class 5 Maths Chapter 1 Question Answer Youtube a chord of a circle is 24 cm. The length of the longest chord of the circle with radius 2. Radius of a circle with centre O is 4 cm. C outside the circle. The lengths of parallel chords which are on opposite sides of the centre of a circle are 6 cm and 8 cm. Question 2. Construct incircle and circumcircle of an equilateral ADSP with side 7.
Measure the radii of both the circles and find the ratio of radius of circumcircle to the radius of incircle.
Solution: Steps of construction: i. Draw the perpendicular bisectors of side DP and side PS of the triangle. Name the point of intersection of the perpendicular bisectors as point C. With C as centre and CM as radius, draw a circle which touches all the three sides of the triangle.
With C as centre and CP as radius, draw a circle which passes through the three vertices of the triangle. Question 3. Solution: Steps of construction: For incircle: i. Let these bisectors intersect at point I. Draw a perpendicular IM on side TS. Point M is the foot of the perpendicular. With I as centre and IM as radius, draw a circle which touches all the three sides of the triangle.
For circumcircle: i. Draw the perpendicular bisectors of side NT and side TS of the triangle. Join seg CN iv. With C as centre and CN as radius, draw a circle which passes through the three vertices of the triangle.
Question 4. Find the length of chord RS. Solution: i. Question 5. In the adjoining figure, P is the centre of the circle.
Given: P is the centre of the circle. Question 6. In the adjoining figure, CD is a diameter of the circle with centre O. Given: O is Class 6 Maths Chapter 7 Question Answer Youtube the centre of the circle. Question 1. Every student in the group should do this activity.
Draw a circle in your notebook. Draw any chord of that circle. Draw perpendicular to the chord through the centre of the circle. Measure the lengths of the two parts of the chord. Group leader should prepare a table as shown below and ask other students to write their observations in it. Write the property which you have observed. Textbook pg. Every student from the group should do this activity. Draw a chord of the circle.
Join the midpoint of the chord and centre of the circle. Measure the angles made by the segment with the chord. Discuss about the measures of the angles with your friends. Which property do the observations suggest? Thus, we can conclude that, the segment joining the centre of a circle and the midpoint of its chord is perpendicular to the chord. Draw circles of convenient radii. Draw two equal chords in each circle.
Draw perpendicular to each chord from the centre. Measure the distance of each chord from the centre. What do you observe? Measure the lengths of the perpendiculars on chords in the following figures. Write the property which you have noticed from this activity. Also, we can see that the measures of the chords in each circle are equal.
Thus, we can conclude that chords of a circle equidistant from the centre of a circle are congruent. Draw different triangles of different measures and draw in circles and circumcircles of them. Complete the table of observations and discuss. Choose correct alternative answer and fill in the blanks. C outside the circle vii.
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