WBBSEClass XMathematicsTheorem Related To Circle02 Mark2022 Easy

QQuestion

The radius of the circle with the center ‘O’ is 13 cm and a chord AB with the length of 10 cm on it. Calculate the distance of the chord AB from the center of the circle.

Exam-ready answer 02 Mark

Answer

The radius of the circle with the center O is 13 cm and a chord AB with the length of 10 cm on it

Radius (r) = 13 cm

BM = 10\over 2 = 5 cm

Distance from the centre (OM) : OM² = 13² – 5²

or, OM² = 13² – 5² = 169 – 25 = 144

or, OM = √144 = 12 cm

Was this answer helpful?

Related Questions

More WBBSE Easy level questions

1/12

Prove that the perpendicular drawn to a chord which is not a diameter, from the center of the circle, bisects the chord.

Easy 05 Mark

State True or False: If two chords of a circle are at an equal distance from the centre of that circle, then those two chords will be always parallel.

Easy 01 Mark

Two circles of diameter 5 cm and 7 cm touch each other internally, the distance between their centres will be - (a) 1 cm (b) 2 cm (c) 3 cm (d) 4 cm

Easy 01 Mark

State True or False: One tangent can be drawn on a circle from an external point.

Easy 01 Mark

Two chords, AB and CD of a circle with center O, when produced, intersect each other at the point P. Prove that ∠AOC−∠BOD = 2 × ∠BPC

Hard 03 Mark

Find the mean proportion of xy² and xz²

Easy 02 Mark

The ratio of portion of profit of two friends is 1/2 : 1/3. Find the ratio of their capitals

Easy 02 Mark

If x be the number of edges of a parallelepiped and y be the number of surfaces then for what least value of a, (x + y + a) is a perfect square?

Easy 02 Mark

If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.

Easy 02 Mark

From an external point P of a circle with centre O, two tangents PS and PT are drawn. QS is a chord of the circle parallel to PT. If ∠SPT = 80°, then find the value of ∠QST.

Easy 02 Mark

Perimeters of two similar triangles are 27 cm and 16 cm. If the length of a side of the first triangle is 9 cm, then find the length of the corresponding side of the second triangle

Easy 02 Mark

If x ∝ √y and y = a², when x = 2a then find x² : y

Easy 02 Mark