An arc AB of a circle subtends an angle x radian at the centre O. If the area of the sector AOB is equal to half of the square of length of arc AB, then what is x equal to?
A.1/4
B.1/2
C.1✓ Correct
D.2
Explanation
Length of arc = rx. Area of sector = (1/2)r²x. Given: (1/2)r²x = (1/2)(rx)² = (1/2)r²x². So r²x = r²x², giving x = 1 (since x ≠ 0).
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