Education
Class 10 Mathematics Full Unit Test – Tangents and Angles of a Circle | Punjab Board 2027 Model Paper
10th class Math Chapter 9 Full unit Test
Class 10 Mathematics Full Unit Test – Tangents and Angles of a Circle is prepared according to the Punjab Board 2027 Model Papers pattern. This Class 10 Mathematics Unit Test covers important concepts from Tangents and Angles of a Circle, including angles in a circle, semicircle theorems, tangents, sectors, arcs, central angles, and related mathematical problems. Students can use this Punjab Board Class 10 Mathematics test for exam preparation, practice, self-assessment, and revision of the complete unit.
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times Up-to-Date Papers
Mathematics Class 10
CHAPTER WISE CLASS TEST
(Test # 1)
Unit 09:
Total Time: 35 min
Total Time: 35 min
Mathematics
Total Marks: 25
Total Marks: 25
ABCD
1
A
B
C
D
2
A
B
C
D
3
A
B
C
D
ABCD
4
A
B
C
D
5
A
B
C
D
6
A
B
C
D
ABCD
7
A
B
C
D
8
A
B
C
D
NOTE: Four possible answers A, B, C and D to each question are given.
The choice which you think is correct, fill that circle in front of
that question with Marker or Pen ink. Cutting or filling two or more
circles will result in zero mark in that question.
Q.1:
(8)
1.
An angle in a segment greater than a semicircle is ______ angle:
2.
What is the measure of an angle inscribed in a semi-circle?
3.
Any two angles in the same segment of the circle are:
4.
Area of the sector of the circle =
1⁄2r2θ
.
5.
Tangent PA touches the circle at A. If
ΔPAO
is an isosceles right triangle,
m∠APO must be:
6.
The radii of two circles are 15cm, 9cm. What is the distance
between their centres if they touch internally?
7.
If area of a sector is 25π and r = 10 then what is the
central angle in radians?
8.
Find the radius if arc length is 24 and the area of the sector is 48.
(PART – I)
Q.2:
Write short answers to following questions.
(6×2=12)
- The radii of two circles are 7cm, 9cm. What is the distance between their centres if they touch externally?
- If two circles of radii r1 = 11 and r2 = 7 touch internally, what is the distance of their centres?
- What is the measure of an angle subtended in a semi-circle?
- Calculate the area of sector with a radius of 8cm and θ = 90°.
- Find the central angle θ of a circle when ℓ = 12cm and r = 4cm.
- A circular clock face has radius of 12cm, What is the area of sector formed between the number 12 and 3 on the clock?
(PART – II)
Note: Attempt the following question.
Q.3:
QR is a tangent to a circle with centre
P at point Q of radius 4 cm, It meets the line segment PR such that
mPR = 8cm. What is the length of
QR?
(5)
P
Q
R
Tangent QR is perpendicular to radius PQ at Q.
