Circle — Practice Quiz
Maharashtra Board · Class 9 · Mathematics
Try a 4-question quiz on Circle for Maharashtra Board Class 9 Mathematics: tap an answer to check it and see why. 44 questions in the full chapter test.
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Quick Quiz: Circle
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In a circle with center O and radius 7 cm, if a chord AB is 6 cm away from the center, what is the length of the chord AB?
A chord of length 16 cm is at a distance of 6 cm from the center of a circle. What is the radius of the circle?
In a circle of radius 13 cm, a chord is 12 cm away from the center. The length of this chord is:
Which geometric constructions are used to find the incenter and circumcenter respectively?
Sample Questions
Which of the following statements about congruent chords are correct?
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They are equidistant from the center, They have equal lengths, They subtend equal angles at the center
Congruent chords have equal lengths by definition. From the theorem, congruent chords are equidistant from the center. Equal chords subtend equal central angles. However, congruent chords don't necessarily pass through the center (that would make them diameters) and they are not always parallel.
In a circle with radius 10 cm, two parallel chords are 6 cm and 8 cm away from the center respectively. Find the difference in their lengths.
The incenter of a triangle is always located inside the triangle.
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True
The incenter is the point where angle bisectors meet. Since angle bisectors of a triangle always meet inside the triangle (as they bisect interior angles), the incenter is always inside the triangle, regardless of whether the triangle is acute, right, or obtuse.
Match the triangle type with the position of its circumcenter:
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