GMAT Quant: Geometry – Circles

Quantitative section of GMAT Exam consists of total 37 questions. The time allotted for this section is 75 minutes. There are two main question types:

1) GMAT Problem Solving (PS)
2) GMAT Data Sufficiency (DS)

Circle is the first geometric figure which we started playing with even before we knew the concepts of geometry.

What is a Circle?

A set of points, placed at equal distance from some fixed point, is known as a circle.

GMAT Quant: Geometry – Circles

The fixed point is known as a circle.

So, let’s understand some concepts related to circle:

  1. Chord:

GMAT Quant: Geometry – Circles Chord

Any segment of line that has its end points on the circle.

  1. Diameter

A chord passing through center is known as a diameter.

GMAT Quant: Geometry – Circles Diameter

  1. Radius:

A radius is a line segment whose one end point lies at the center while other lies on the circle.

GMAT Quant: Geometry – Circles radius

Formulas related to circle:

Area of circle is equal to:

Perimeter of circle is:

Where, r is radius and d is diameter.

Let’s solve a question to get a better grasp at the concept:

Question:

What is the diameter of the circle which circumscribes a triangle with sides 9-40-41 cm?

Solution:

5

As, 9-40-41 is a Pythagorean triplet. So, the hypotenuse of the triangle will be the diameter of the circle.

So, Diameter = 41 cm.

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