Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > Worksheet: Circles
Circles Class 9 Worksheet Maths Chapter 10
True and False
Q1: If two arc of a circle are congruent. Then corresponding chord are unequal.
Q2: Two perpendicular bisector of chord intersect at center of circle.
Q3: The line joining the mid-point of a chord to centre perpendicular to chord.
Q4: It is possible to draw two circles from three non-collinear points.
Answer the following Questions
Q1: If O is the center of circle of radius 5 cm OP perpendicular to AB and OQ perpendicular to CD, AB||CD, AB = 6cm and CD = 8 cm. Determine PQ.
Q2: AB and CD are the two chord of the circle such that AB = 6 cm , CD = 12 cm and AB||CD, if the distance between AB and CD is 3 cm, find the radius of the circle.
Q3: Prove that the line joining to the centre of circle to the mid-point of a chord, is perpendicular to the chord.
Q4: Given an arc of circle how you will find its centre and complete the circle.
Q5: Two equal chord AB and CD of circle with center O, when produced meet at a point E, prove that BE=DE and AE=CE
Q6: Two equal circles intersect in P and Q. A straight line through P meets the circles in A and B. Prove that QA=QB.
The solutions of the worksheet "Worksheet Solutions: Circles"
The document Circles Class 9 Worksheet Maths Chapter 10 is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Circles Class 9 Worksheet Maths Chapter 10
| 1. What is the formula for the circumference of a circle? |  |
Ans.The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius of the circle.
| 2. How do you calculate the area of a circle? | |
Ans.The area of a circle can be calculated using the formula A = πr², where A is the area and r is the radius of the circle.
| 3. What is the difference between the diameter and the radius of a circle? | |
Ans.The radius of a circle is the distance from the center to any point on the circle, while the diameter is the distance across the circle through the center, which is twice the radius (d = 2r).
| 4. Can you explain what a chord is in relation to circles? | |
Ans.A chord is a straight line segment whose endpoints both lie on the circle. The longest chord of a circle is the diameter.
| 5. How do you find the length of an arc in a circle? | |
Ans.To find the length of an arc, you can use the formula L = (θ/360) × C, where L is the arc length, θ is the central angle in degrees, and C is the circumference of the circle.
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