Discussion

Explanation:

Area of sector O-APB = (x/360) × π × (13)2 = 169πx/360 cm2

Let the perpendicular from O to AB meet AB at M. Hence, OM is the perpendicular bisector of AB. 

Hence, AM = 24/2 = 12 cm and OM = 5 cm (5, 12, 13 form a pythagorean triplet in right triangle OAM). 

∴ Area of triangle OAB = (1/2) × OM × AB = (1/2) × 5 × 24 = 60 cm2  

∴ Required area = [(169πx/360) − 60] cm2

Hence, option (c).

» Your doubt will be displayed only after approval.


Doubts


Feedback

Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.


© 2024 | All Rights Reserved | Apti4All