Mathematics · Quantitative Aptitude

Circle Geometry

232 Questions

Circle geometry focuses on the properties and dimensions of circles, including radius, diameter, circumference, and area calculations. Questions often involve concentric circles, sectors, and inscribed shapes. This topic frequently appears in quantitative aptitude sections of major competitive exams.

Area and circumferenceConcentric circlesCircle sectorsInscribed polygonsSemicircle area

Circle Geometry Questions

Multiple choice

What is the name of the mathematical problem that involves finding the area of a circle?

  1. Area of a Triangle

  2. Area of a Rectangle

  3. Area of a Circle

  4. Area of a Sphere
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The area of a circle is given by the formula πr², where r is the radius of the circle.

Multiple choice

Brahmagupta's formula for finding the circumference of a circle is:

  1. $C = \pi d$
  2. $C = 2\pi r$
  3. $C = \pi r^2$
  4. $C = 2\pi r^3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Brahmagupta's formula for finding the circumference of a circle is $C = 2\pi r$.

Multiple choice

Brahmagupta's formula for finding the area of a circle is:

  1. $A = \pi r^2$
  2. $A = 2\pi r$
  3. $A = \pi d$
  4. $A = 2\pi r^3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Brahmagupta's formula for finding the area of a circle is $A = \pi r^2$.

Multiple choice

Brahmagupta's formula for finding the circumference of a circle is:

  1. $C = \pi d$
  2. $C = 2\pi r$
  3. $C = \pi r^2$
  4. $C = 2\pi r^3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Brahmagupta's formula for finding the circumference of a circle is $C = 2\pi r$.

Multiple choice

Brahmagupta's formula for finding the area of a circle is:

  1. $A = \pi r^2$
  2. $A = 2\pi r$
  3. $A = \pi d$
  4. $A = 2\pi r^3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Brahmagupta's formula for finding the area of a circle is $A = \pi r^2$.

Multiple choice

Which mathematical concept is used to calculate the area of a circle?

  1. Area = πr²

  2. Area = 2πr

  3. Area = πd

  4. Area = πd²
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a circle is calculated using the formula Area = πr², where r is the radius of the circle.

Multiple choice

A circle has a radius of 10 cm. What is the area of the sector of the circle formed by a central angle of 60 degrees?

  1. 25π cm^2

  2. 50π cm^2

  3. 75π cm^2

  4. 100π cm^2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a sector of a circle is given by the formula A = (θ/360) * πr^2, where θ is the central angle in degrees and r is the radius of the circle. Substituting the given values, we get A = (60/360) * π(10)^2 = 25π cm^2.

Multiple choice

What formula did Dandin provide for the circumference of a circle?

  1. $\pi r^2$
  2. $\2\pi r$
  3. $\\pi d$
  4. $\4\pi r$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Dandin gave the formula for the circumference of a circle as (2\pi r).

Multiple choice

What is the area of a circle with radius 10 cm?

  1. 100π cm^2

  2. 200π cm^2

  3. 300π cm^2

  4. 400π cm^2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a circle is given by the formula πr^2. Substituting r = 10 cm, we get π(10)^2 = 100π cm^2.

Multiple choice

What is the value of the area of a circle with a radius of 7 cm?

  1. 154 cm^2

  2. 168 cm^2

  3. 182 cm^2

  4. 196 cm^2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a circle with a radius of 7 cm is 154 cm^2.

Multiple choice

What is the area of a circle with a radius of 10 cm?

  1. 100π cm^2

  2. 200π cm^2

  3. 300π cm^2

  4. 400π cm^2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a circle is given by the formula πr^2, where r is the radius of the circle. In this case, r = 10 cm, so the area is π(10)^2 = 100π cm^2.

Multiple choice

What is Bhaskara II's formula for finding the area of a circle?

  1. $\pi * radius^2$
  2. $\pi * diameter^2$
  3. $\pi * radius * diameter$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Bhaskara II's formula for finding the area of a circle is (\pi * radius^2).

Multiple choice

What is the name of the theorem that states that the area of a circle is equal to pi times the square of its radius?

  1. Heron's formula

  2. Pythagorean theorem

  3. Brahmagupta's theorem

  4. Area of a circle formula
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The area of a circle formula is a well-known result in geometry that provides a method for calculating the area of a circle using its radius.

Multiple choice

What is the name of the mathematical concept that describes the relationship between the area and circumference of a circle?

  1. Area of a circle

  2. Circumference of a circle

  3. Pi

  4. Radius of a circle
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a circle is the mathematical concept that describes the relationship between the area and circumference of a circle.

Multiple choice

What is the area of a circle with a radius of 5 cm?

  1. 25π cm²

  2. 50π cm²

  3. 75π cm²

  4. 100π cm²
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a circle is calculated using the formula πr², where r is the radius of the circle. In this case, r = 5 cm, so the area is π(5²) = 25π cm².