alleryA chord of a circle of radius 10 cm subtends a right angle at the centre. The length of the chord is
A10 cm
B5 (square root of 2) cm
C20 cm
D10 (square root of 2) cm
Answer & Solution
Correct answer: D. 10 (square root of 2) cm
1. Chord with central angle 90 degrees forms an isosceles right triangle with two radii as legs.
2. Chord squared = 10 squared + 10 squared = 200.
3. Chord = 10 (square root of 2) cm.
_Source: syllabus Mathematics, Ch 10 "Circles", §10.3_
Keep practising Triangles and Circles
Browse all Triangles and Circles questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
Two circles touch each other externally at P. A common tangent at P meets another common tIn a circle, two chords AB and CD intersect inside at P. If AP × PB = 8 and CP = 4, then PA point P is 25 cm away from the centre O of a circle and the tangent PT to the circle is Two parallel tangents are drawn to a circle of radius 8 cm. The distance between them isA tangent at point P of a circle of radius 5 cm is parallel to a chord 8 cm long. The distA circle touches all four sides of a quadrilateral ABCD with AB = 6, BC = 7, CD = 4. Then PA and PB are tangents from a point P to a circle. If angle APB = 90 degrees, the radius aA line drawn through the centre of a circle to bisect a chord is