DSQ: Calculating the length of a radius

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating the length of a radius

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1

Rectangle is inscribed inside a circle. What is the radius of the circle?

Statement 1:

Statement 2:

2

The equation of a circle can be written in the form

$\left (x-A \right )^{2}+ \left ( y -B\right )^{2} = C$

Give the radius of the circle of this equation.

Statement 1:

Statement 2:

3

Calculate the length of the radius of a circle.

Statement 1): The circumference of the circle is .

Statement 2):

4

Find the radius of circle B

I) Circle B has a circumference of $\small 8\pi m$ .

II) Circle B has an area of $\small 16\pi m^2$ .

5

Square is inscribed inside a circle. What is the radius of the circle?

Statement 1: Square has area 100.

Statement 2: $SU = 10 \sqrt{2}$ .

6

Right triangle $\bigtriangleup ABC$ is inscribed inside a circle. What is the radius of the circle?

Statement 1:

Statement 2:

7

A circle is inscribed inside an equilateral triangle $\bigtriangleup ABC$ . $\overline{A B}$ , $\overline{BC}$ , and $\overline{AC}$ are tangent to the circle at the points , , and , respectively. What is the radius of the circle?

Statement 1: The length of arc $\widehat{XY}$ is $4 \pi$ .

Statement 2: The degree measure of arc $\widehat{XZY}$ is $240 ^{\circ }$ .

8

A polygon is inscribed inside a circle. What is the radius of the circle?

Statement 1: Each side of the polygon measures 10.

Statement 2: The inscribed polygon is a regular hexagon.

9

An equilateral triangle $\bigtriangleup ABC$ is inscribed inside a circle; is the midpoint of $\overline{AB}$ . What is the radius of the circle?

Statement 1: $\bigtriangleup ABC$ has area $36 \sqrt{3}$ .

Statement 2: $CM = 6 \sqrt{3}$ .

10

Rectangle is inscribed inside a circle. What is the radius of the circle?

Statement 1: Rectangle has area 200.

Statement 2: Rectangle has perimeter 60.

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