Question
Length of a chord in a circle of radius 'r' cm, is 14 cm
and distance between chord and centre of the circle is 24 cm. Find the value of (4r - 60).Solution
AB is the chord of circle.
Perpendicular line joining the centre of circle and chord, bisects the chord.
i.e. AC = BC = (14/2) = 7 cm
By Pythagoras theorem,
OA 2 = OC 2 + AC 2
Or, r 2 = 24 2 + 7 2
Or, r 2 = 576 + 49
Or, r 2 = 625
So, 'r' = 25
But length cannot be negative. So, 'r' = 25
Required value = 4 X 25 - 60 = 40
________ number of players got awarded with the Major Dhyan Chand Khel Ratna Award 2024?
- Which onboarding platform was launched by Axis Max Life Insurance?
Which two countries signed an MoU in August 2025 to enhance cooperation in semiconductors and critical minerals?Â
What is the purpose of the 'National Creators Award' announced by the government?
What penalty did the RBI impose on Fino Payments Bank for non-compliance with licensing norms?Â
Which Indian state recently approved a One-Time Settlement (OTS) scheme to recover pre-GST arrears worth ₹11,968 crore?Â
Who among the following has been conferred with India’s highest sporting honour, the Major Dhyan Chand Khel Ratna award?
What is the primary objective of the new Income Tax Bill approved by the Union Cabinet?
Which state is set to host the 2025 Para Athletics World Championship?
What was India's total foreign exchange (forex) reserves as of January 17, 2025
