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  1. Problems
  2. /Geometry
  3. /Circles

Circles

Mathematics
+ Upload a Problem
More in GeometryLines and AnglesTrianglesQuadrilaterals and PolygonsCirclesConstructions
32 problems
Exam:
Type:
1.
Two circles have the same centre O, with radii 17 cm and 8 cm… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Hard
2.
A four-sided figure ABCD is drawn round a circle, so that all four sides touch it… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
3.
A right triangle has legs 15 cm and 20 cm… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Medium
4.
A circle inside triangle ABC touches AB at F, BC at D and CA at E… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
5.
A tangent segment TP is 24 cm long, and T is 25 cm from the centre O of the circle… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
6.
TP and TQ are tangents from T to a circle with centre O… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
7.
Two tangents TP and TQ are drawn from a point T to a circle with centre O… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Medium
8.
A point T is 17 cm from the centre of a circle of radius 8 cm… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Easy
9.
PT is a tangent to a circle with centre O, touching it at P… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
10.
A circle has radius 6.5 cm. Three straight lines are drawn at distances 4 cm, 6.5 cm and 8 cm from… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Medium
11.
A circle has centre O and radius 9 cm. A tangent touches the circle at P, and Q is a point on the… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Easy
12.
ABCD is a cyclic quadrilateral with AB = AD and ∠ BAD = 108°. Find ∠ BCD, ∠ ABD and ∠ ACB. New
High School (9–10), General · CirclesOlympiad, SATStemPy LabStemPy Lab
Hard
13.
The points A(0, 0), B(8, 0) and C(8, 6) lie on a circle… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Hard
14.
Three quadrilaterals have these angles, taken in order A, B, C, D: (60°, 110°, 120°, 70°), (80°… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Medium
15.
ABCD is a cyclic trapezium with AB ∥ DC and ∠ DAB = 64°. Find ∠ ADC, ∠ ABC and ∠ BCD. New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
16.
The diagonals AC and BD of a cyclic quadrilateral ABCD are drawn… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
17.
In a cyclic quadrilateral, an exterior angle at one corner is (2x + 12)°… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
18.
The side AB of a cyclic quadrilateral ABCD is extended to E. ∠ ADC = 67°. Find ∠ CBE and ∠ ABC. New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Easy
19.
The opposite angles of a cyclic quadrilateral are (3x + 10)° and (5x - 6)°… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
20.
The angles A, B and C of a cyclic quadrilateral ABCD are in the ratio 1 : 2 : 5… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Medium
21.
ABCD is a cyclic quadrilateral with ∠ A = 82° and ∠ B = 97°. Find ∠ C and ∠ D. New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Easy
22.
Triangle ABC has a right angle at B, with AB = 15 cm and BC = 20 cm… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Hard
23.
C and D are two points on the major arc AB of a circle with centre O… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
24.
AB is a diameter of a circle and P is a point on the circle… New
High School (9–10), General · CirclesSATStemPy LabStemPy Lab
Medium
25.
An arc AB of a circle with centre O makes an angle ∠ ACB = 36° at a point C on the major arc… New
High School (9–10), General · CirclesStemPy LabStemPy Lab
Easy
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