Worksheet: Circles

# Circles Class 10 Worksheet Maths Chapter 10

Multiple Choice Question
Q1: If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is:
(a) 6 cm
(b) 8 cm
(c) 10 cm
(d) 12 cm

Q2: In Fig, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to:
(a) 60º
(b) 50º
(c) 70º
(d) 80º

Q3: AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is:
(a) 17 cm
(b) 15 cm
(c) 4 cm
(d) 8 cm

Q4: In Fig, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to:
(a) 30º
(b) 60º
(c) 90º
(d) 45º

Q5: In Fig, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to:

(a) 30º
(b) 45º
(c) 90º
(d) 60º

True or False

Q6: Through three collinear points a circle can be drawn.

Q7: If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.

Q8: Two chords AB and AC of a circle with centre O are on the opposite sides of OA.
Then ∠OAB = ∠OAC.

Q9. If AOB is a diameter of a circle and C is a point on the circle, then AC2 + BC2 = AB2

You can access the solutions to this worksheet here.

The document Circles Class 10 Worksheet Maths Chapter 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

## FAQs on Circles Class 10 Worksheet Maths Chapter 10

 1. What is the formula for the area of a circle?
Ans. The formula for the area of a circle is given by $$A = \pi r^2$$, where $$A$$ is the area and $$r$$ is the radius of the circle.
 2. How do you find the circumference of a circle?
Ans. The circumference of a circle can be calculated using the formula $$C = 2\pi r$$ or $$C = \pi d$$, where $$C$$ is the circumference, $$r$$ is the radius, and $$d$$ is the diameter of the circle.
 3. What is the relationship between the diameter and radius of a circle?
Ans. The diameter of a circle is twice the length of the radius. This can be expressed with the formula $$d = 2r$$, where $$d$$ is the diameter and $$r$$ is the radius.
 4. How do you calculate the area of a sector in a circle?
Ans. The area of a sector of a circle can be calculated using the formula $$A = \frac{\theta}{360} \times \pi r^2$$, where $$A$$ is the area of the sector, $$\theta$$ is the angle in degrees, and $$r$$ is the radius of the circle.
 5. What are the properties of tangents to a circle?
Ans. A tangent to a circle is a line that touches the circle at exactly one point. The properties of tangents include: 1) A tangent is perpendicular to the radius at the point of contact. 2) Tangents drawn from an external point to a circle are equal in length.

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

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