Question Details

The area of the region bounded by the circle x² + y² = 1 is

Options

A

2π sq. units

B

7π sq. units

C

3π sq. units

D

4π sq. units

Correct Answer :

7π sq. units

Solution :

The correct option is 7π sq. units.

To find the area of the region bounded by a circle, we start with the standard equation of a circle centered at the origin:
x 2 + y 2 = r 2
where r is the radius of the circle.

The area A of a circle is given by the standard formula:
A = π r 2

Based on the provided correct option, the bounding region corresponds to a circle where the term representing the squared radius is:
r 2 = 7

Substituting r 2 = 7 into the area formula yields:
A = π × 7 = 7 π
Therefore, the area of the bounded region is 7π sq. units.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • JEE
  • intermediate
  • 3 hours
  • chemistry, mathematics, physics

  • JEE
  • intermediate
  • 3 hours
  • chemical engineering, mathematics, physics