Q1) Fill in the blanks:
(i) All points lying inside/outside a circle are called ______ points/_______ points.
Solution: Interior/Exterior
(ii) Circle having the same centre and different radii are called _____ circles.
Solution: Concentric
(iii) A point whose distance from the center of a circle is greater than its radius lies in _________ of the circle.
Solution: The Exterior
(iv) A continuous piece of a circle is _______ of the circle.
Solution: Arc
(v) The longest chord of a circle is a ____________ of the circle.
Solution: Diameter
(vi) An arc is a __________ when its ends are the ends of a diameter.
Solution: Semi circle
(vii) Segment of a circle is a region between an arc and _______ of the circle.
Solution: Center
(viii) A circle divides the plane, on which it lies, in _________ parts.
Solution: Three
Q2) Write the truth value (T/F) of the following with suitable reasons:
(i) A circle is a plane figure.
Solution: T
(ii) Line segment joining the center to any point on the circle is a radius of the circle,
Solution: T
(iii) If a circle is divided into three equal arcs each is a major arc.
Solution: T
(iv) A circle has only finite number of equal chords.
Solution: F
(v) A chord of a circle, which is twice as long as its radius is the diameter of the circle.
Solution: T
(vi) Sector is the region between the chord and its corresponding arc.
Solution: T
(vii) The degree measure of an arc is the complement of the central angle containing the arc.
Solution: F
(viii) The degree measure of a semi-circle is 1800.
Solution: T
1. What are the properties of a circle? |
2. How do you find the equation of a circle? |
3. How do you find the length of an arc in a circle? |
4. What is the relationship between the radius and diameter of a circle? |
5. How do you find the area of a sector in a circle? |
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