Two circles with the same centre P have radii 7.5 cm and 4.4 cm. Though a point A of the larger circle, a tangent is drawn to the smaller circle touching it at B. Find AC (Approximately in cm).
Answer & explanation
Correct answer: option 2
We know that,
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
We have,
Radius of two circles = 7.5 and 4.4
(AP)2 = (PB)2 + (AB)2
= (7.5)2 = (4.4)2 + (AB)2
= 56.25 = 19.36 + AB 2
= AB 2 = 56.25 – 19.36
= AB 2 = 36.89
= AB = 6.07
Length of AC = 2(AB) = 2(6.07) = 12.14