# Worksheet: Equation of a Circle with a Center and a Point

In this worksheet, we will practice finding the equation of a circle using its center and a given point.

Q1:

A circle has centre and goes through the point . Find the equation of the circle.

• A
• B
• C
• D
• E

Q2:

Determine the equation of a circle that passes through the point if its centre is .

• A
• B
• C
• D

Q3:

A circle has centre and goes through the point . Find the equation of the circle.

• A
• B
• C
• D
• E

Q4:

What is the equation of the circle of centre and passing through ?

• A
• B
• C
• D

Q5:

A circle has centre and goes through the point . Find the equation of the circle.

• A
• B
• C
• D
• E

Q6:

A circle centered at the origin goes through the point (1, 1).

Work out the equation of the circle.

• A
• B
• C
• D
• E

Determine the positive value of when .

• A
• B
• C
• D
• E

Is the point on the circle?

• ANo
• BYes

Q7:

Determine the equation of a circle whose centre is at the point , given that the circle touches the straight line .

• A
• B
• C
• D

Q8:

The given figure shows a circle with center and a point lying on the circumference of the circle.

Find the length of in terms of and .

• A
• B
• C
• D
• E

Find the length of in terms of and .

• A
• B
• C
• D
• E

Using the Pythagorean Theorem, express in terms of the lengths of and .

• A
• B
• C
• D
• E

Q9:

Find the radius of the circle that passes through point and has centre .

• A
• B
• C
• D
• E21

Q10:

Does the coordinate lie on the circle centred at the point passing through the point ?

• A We need more information in order to work it out.
• B no
• C yes

Q11:

Determine the equation of a circle that passes through the point if its centre is .

• A
• B
• C
• D

Q12:

Determine the equation of a circle that passes through the point if its centre is .

• A
• B
• C
• D

Q13:

Determine the equation of a circle that passes through the point if its centre is .

• A
• B
• C
• D

Q14:

Determine the equation of a circle that passes through the point if its centre is .

• A
• B
• C
• D

Q15:

Determine the equation of a circle that passes through the point if its centre is .

• A
• B
• C
• D

Q16:

Determine the equation of a circle that passes through the point if its centre is .

• A
• B
• C
• D

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.