Sarthaks APP
0 votes
101k views
in Mathematics by (8.0k points)

A chord 10 cm long is drawn in a circle whose radius is 5√2 cm. Find the area of both segments

1 Answer

0 votes
by (13.2k points)
selected by
 
Best answer

Given radius = r = 5√2 cm = OA = OB

Length of chord AB = 10cm

In ΔOAB, OA = OB = 5√2 AB = 10cm OA2+OB2=(5√2)2+(5√2)2=50+50=100=(AB)2

Pythagoras theorem is satisfied OAB is right triangle

= angle subtended by chord = ∠AOB = 90°

Area of segment (minor) = shaded region

= area of sector − area of ΔOAB

Area of major segment = (area of circle) – (area of minor segment)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...