Pre-assessment | CBSE | G10 | C.10 Areas Related to Circles

What is the formula to calculate the circumference of a circle given the radius?

• 2 * radius

• radius^2

• π * radius

• 2 * π * radius

In a circle, what type of angle is formed by a radius and a tangent at the point of contact?

• Right angle

• Straight angle

• Obtuse angle

• Acute angle

What is the relationship between the lengths of a chord and a tangent drawn from the same point outside the circle?

• Tangent is perpendicular to the chord

• Tangent is shorter than the chord

• Tangent is longer than the chord

• Tangent is equal to the chord

Calculate the circumference of a circle with a radius of 5 units.

• 10π units

• 3π units

• 25 units

• 15π units

Determine the area of a circle with a radius of 8 units.

• 64π square units

• 32π square units

• 128π square units

• 16π square units

If a tangent to a circle is 12 units long and the distance between the center of the circle and the point of contact is 5 units, what is the radius of the circle?

• 15

• 7

• 13

• 10

If the length of a chord in a circle is 16 units and the distance from the center of the circle to the chord is 4 units, what is the length of the radius?

• 6.32 units

• 12.45 units

• 8.94 units

• 10.78 units

A line passing through the two points on a circle is called (a)   .

A line segment joining two points on a circle is called (a)   .

(a)   is the longest chord in a circle.