Circles Class 9 Worksheet 1 with Answers
1. In a circle of radius 17 cm, find the length of a chord which is 15 cm apart from the centre.
2.
Find
∠BOC in the given figure.
3.
In
the given figure, find ∠AOB.
4. In the given figure, AB is the diameter of a circle and ABCD is an isosceles trapezium. If ∠CAB = 25°, find ∠ADC.
7.
In
the given figure, AB || CD, ∠CAB = 20° and ∠ACB
= 70°. Find ∠CPD.
8.
Find
the angle marked as x and y in the given figure.
9. In the given figure, find the angle marked as x.
10. In the given figure, AC is the diameter of a circle with centre O. If ∠AOB = 40°, find the angle marked as x and y.
11. Find x, y and z in the
given figure.
12. Find the marked angles.
Circles Class 9 Worksheet 2 with Answers
1.
Find the length of a chord which is at a
distance of 5 cm from the centre of a circle of radius 13 cm.
2.
In the given figure, identify:
a. radius b. diameter
c. chord d. segment
e. sector f. arc
g. exterior
points h. interior points
3. ΔPQR is inscribed in a circle with centre O
and QR is a diameter. If ∠PQR = 65°, find ∠PRQ.
4.
Fill in the blanks.
a.
All points lying inside/outside a circle are called _______ points/_______
points.
b.
The longest chord of a circle is the _______ of the circle.
c.
Segment of a circle is the region between an arc and _______ of the circle.
d.
Circles having the same centre and different radii are called _______ circles.
e.
_______ is the arc from one end of a diameter to the other end.
5.
In the given figure, identify:
a.
secants of the circle
b.
diameter of the circle
c. tangents to
the circle
6. In the given figure, calculate ∠ABC. (Hint: Join OB as radius)
7. Prove that any two tangents drawn from an
external point to a circle with centre O are equal.
8. AB and CD are two parallel chords of a circle
such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of
the centre and the distance between them is 17 cm, find the radius of the
circle.
9. A tangent of 4 cm is drawn to a circle with centre
O and the point outside is joined with centre which measures 5 cm. Find the
radius of the circle.
10. A circle with centre O has radius 8 cm. A
point X is taken outside the circle touching the circle at Y. If XY = 15 cm
long, find the distance of X from the centre of the circle.
11. Find x from the given figure and then give measures of ∠A, ∠B and ∠C.
12. A chord AB of a circle is equal to the radius (r) of the circle. Find all the angles subtended by joining the ends of chord to the centre.
Worksheet 1
1. 16
cm 2.
120°
3. 80°
4. 115°
5. 5 cm 6. x = 42°
7. 140°
8. x = 35°; y = 95°
9. 55°
10. x = 20°; y = 20°
11. x = 65°; y = 15°; z = 90°
12. a. x = 45°; y = 45°
b. x = 130°
Worksheet 2
1. 24
cm
2. a. OP,
OQ, OR
b. PQ
c. AB
d.
APBA e. ROQR
f. RQ g. T, U
h. S, O
3. 25°
4. a. interior; exterior
b. diameter
c. a
chord
d. concentric
e. semicircle
5. a. AB, PQ, RQ, RS
b. MN
c. l, m
6. 70°
7. Do it yourself
8. 13 cm 9.
3 cm
10. 17 cm
11. ∠A = 58°; ∠B
= 90°; ∠C
= 32°
12. Each angle is 60°
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| Maths Worksheets for Other Chapters of Class 9 |
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3. Area of parallelograms and triangles worksheets
4. Triangles class 9 worksheets
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6. Polynomials class 9 worksheets
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8. Linear equations in two variables class 9 worksheets
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10. Lines and angles class 9 worksheets
11. Quadrilaterals class 9 worksheet
12. Heron’s formula class 9 worksheet
13. Statistics class 9 worksheets
14. Probability class 9 worksheet
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