Advertisements
Advertisements
प्रश्न
Two concentric circles with center O have A, B, C, D as the points of intersection with the lines L shown in the figure. If AD = 12 cm and BC s = 8 cm, find the lengths of AB, CD, AC and BD.
उत्तर
Since, OM ⊥ BC
BM = CM = `1/2`BC = 4 cm
also, OM ⊥ AD
So, AM = DM = `1/2` AD = 6 cm
now, AB = AM - BM = ( 6 - 4 ) cm = 2 cm
CD = DM - CM = ( 6 - 4 ) cm = 2 cm
∴ AC = AB + BC = ( 2 + 8 ) cm = 10 cm
and BD = BC + CD = ( 8 + 2 ) cm = 10 cm
APPEARS IN
संबंधित प्रश्न
Fill in the blanks:
A circle divides the plane, on which it lies, in __________ parts.
O is the center of a circle of radius 8cm. The tangent at a point A on the circle cuts a line through O at B such that AB = 15 cm. Find OB
In the given figure, AB is a chord of length 16 cm of a circle of radius 10 cm. The tangents at A and B intersect at a point P. Find the length of PA.
If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is:
In a cyclic quadrilateral ABCD if AB || CD and ∠B = 70°, find the remaining angles.
The ______________ is the longest chord of a circle
Find the radius of the circle
Diameter = 30 cm
Circles with centres A, B and C touch each other externally. If AB = 3 cm, BC = 3 cm, CA = 4 cm, then find the radii of each circle.
In the given figure, AB is the diameter of the circle. Find the value of ∠ACD.
If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ.
