Related Concepts:-
Length of arc = (angle made by the arc at the centre) * (2πr) / 3600
Area of circular region covered under arc
= (angle made by the arc at the centre) * (πr2) / 3600
= (angle made by the arc at the centre) * (πr2) / 3600
Circumference of the circle = 2πr
(This is the arc length for complete 3600 angle made at the centre)
ÐAOB = ÐCOD ÐAOC = ÐBOD
Length of arc AB = length of arc CD
Length of arc AC = length of arc BD
The possible quant-comparison Q’s in GRE:
Each question from Q1 to Q5 consists of two quantities, one in column A and one in column B. You are to compare the two quantities and choose
A if the quantity in column A is greater;
B if the quantity in column B is greater;
C if the quantities are equal;
B if the relationship cannot be determined from the information given;
Q1) Column A Column B
Length of arc AB Length of arc CD
Q2) Column A Column B
Length of arc AC Length of arc BD
Q3) Given that ÐAOB is acute angle
Column A Column B
Length of arc AB Length of arc BD
Q4) Column A Column B
Area of shaded region AOB Area of shaded region COD
Q5) Column A Column B
Area of un-shaded region AOC Area of un-shaded region BOD
The possible problem-solving Q’s in GRE/GMAT:
Q6) If the ÐAOB = 600 and radius of the circle is 4 units, find the length of arc AB
Q7) If the ÐAOB = 600 and the radius of the circle is 3 units, find the total area of shaded region
Q8) If a straight-line is drawn joining A and B and given that the ÐAOB = 600 and
radius measures 3 units, find the length of the straight-line AB
Q9) If length of arc ACDB is double that of arc AB, then find ÐAOB
Q9) If length of arc ACDB is double that of arc AB, then find ÐAOB
Note:- Please find the solutions to these problems in the next post on this blog.
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