Circle — Practice Quiz
Maharashtra Board · Class 10 · Mathematics
Try a 4-question quiz on Circle for Maharashtra Board Class 10 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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A circle has a radius of 7 cm. What is the length of a chord that is 3 cm away from the center?
From an external point P, two tangents PA and PB are drawn to a circle. If PA = 12 cm and the distance from P to the center is 15 cm, find the radius of the circle.
In a circle, if a central angle measures 60°, what is the measure of the inscribed angle subtending the same arc?
Two circles with radii 5 cm and 3 cm touch each other externally. What is the distance between their centers?
Sample Questions
Which of the following are properties of a cyclic quadrilateral? (Select all correct answers)
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Opposite angles are supplementary, External angle equals opposite interior angle, All vertices lie on the same circle
A cyclic quadrilateral has these key properties: (1) All vertices lie on the same circle (definition), (2) Opposite angles sum to 180°, and (3) An external angle equals the opposite interior angle. The other options are not necessarily true for all cyclic quadrilaterals.
In a circle with center O, two chords AB and CD intersect at point P inside the circle. If AP = 4 cm, PB = 6 cm, and CP = 3 cm, find PD.
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?
An angle inscribed in a semicircle is always a right angle.
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True
This is true by Thales' theorem. An angle inscribed in a semicircle subtends an arc of 180°. By the inscribed angle theorem, the inscribed angle = (1/2) × 180° = 90°.
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