Mathematics
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is
6 cm
8 cm
10 cm
12 cm
Circles
1 Like
Answer
Let r be the radius of the circle.
From figure,
AC = AO + OC = r + r = 2r.
In right △ABC,
⇒ AC2 = AB2 + BC2
⇒ (2r)2 = 122 + 162
⇒ 4r2 = 144 + 256
⇒ 4r2 = 400
⇒ r2 = = 100
⇒ r = = 10 cm.
Hence, Option 3 is the correct option.
Answered By
1 Like
Related Questions
The circumference of a circle must be
a positive real number
a whole number
a natural number
an integer
AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, then the distance of AB from the center of circle is
17 cm
15 cm
4 cm
8 cm
In the adjoining figure, O is the center of the circle. If OA = 5 cm, AB = 8 cm and OD ⊥ AB, then length of CD is equal to
2 cm
3 cm
4 cm
5 cm
In the adjoining figure, a chord PQ of a circle with center O and radius 15 cm is bisected at M by a diameter AB. If OM = 9 cm, find the lengths of :
(i) PQ
(ii) AP
(iii) BP.
