Easy
879 likes
Question
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.
WBBSE
Class X
Mathematics
Theorem Related To Circle
02 Mark
2022
Answer

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
Related Questions
More WBBSE Easy level questions
1/12
Easy
731
Q.
Prove that the perpendicular drawn to a chord which is not a diameter, from the...
A.
Given : AB is a chord of the circle with its centre...
View Question
Easy
817
Q.
State True or False: If two chords of a circle are at an equal distance...
A.
False Explanation: Equal distance from the centre means the chords are equal...
View Question
Easy
797
Q.
Two circles of diameter 5 cm and 7 cm touch each other internally, the distance...
A.
(a) 1 cm Explanation: Radii are = 2.5 cm and = 3.5...
View Question
Easy
552
Q.
State True or False: One tangent can be drawn on a circle from an external...
A.
False Explanation This statement is false. As maximum of two tangents can...
View Question
Hard
987
Q.
Two chords, AB and CD of a circle with center O, when produced, intersect each...
A.
Let AB and CD be two chords of a circle with centre...
View Question
Easy
542
Q.
Find the mean proportion of xy² and xz²
A.
Mean proportion of two numbers a and b is given by: Substituting...
View Question
Easy
857
Q.
The ratio of portion of profit of two friends is 1/2 : 1/3. Find the...
A.
Let the capital investments of the two friends be C₁ and C₂....
View Question
Easy
958
Q.
If x be the number of edges of a parallelepiped and y be the number...
A.
A parallelepiped has 12 edges and 6 faces so x + y...
View Question
Easy
871
Q.
If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.
A.
sin (θ + 30°) = cos 15° or, sin (θ + 30°)...
View Question
Easy
566
Q.
From an external point P of a circle with centre O, two tangents PS and...
A.
In triangle PST, since PS = PT, the base angles are equal....
View Question
Easy
953
Q.
Perimeters of two similar triangles are 27 cm and 16 cm. If the length of...
A.
For similar triangles, the ratio of corresponding sides is equal to the...
View Question
Easy
803
Q.
If x ∝ √y and y = a², when x = 2a then find x²...
A.
Since x is proportional to √y, let x = k√y. Given y...
View Question