Question:
The line y = x partitions the circle (x – a)2 + y2 = a2 in two segments. What is the area of minor segment?
The line y = x partitions the circle (x – a)2 + y2 = a2 in two segments. What is the area of minor segment?
Options:
- (π – 1)a2 / 4
- (π – 1)a2 / 2
- (π – 2)a2 / 4
- (π – 2)a2 / 2
- (π – 1)a2 / 4
- (π – 1)a2 / 2
- (π – 2)a2 / 4
- (π – 2)a2 / 2
Correct Answer: c)
Explanation:
k
u
Wa
a
1 7 1
lid
X X
i 2 \ TY I
»
Gi√en, y = z and (z — a)? + y*> = a?
‘ Area of minor segment = Area of OABC – Area of triangle OAC
‘ = ma? — 30% = a? (7— 2)
k
u
Wa
a
1 7 1
lid
X X
i 2 \ TY I
»
Gi√en, y = z and (z — a)? + y*> = a?
‘ Area of minor segment = Area of OABC – Area of triangle OAC
‘ = ma? — 30% = a? (7— 2)