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10th Class Mathematics Chapter 9 Test

10th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

If a circle is divided into ten equal arcs, then central angle of each arc is …………
1. 10°
2. 36°
3. 60°
4. 90°
Corresponding arcs of two congruent chords of a circle are …………
1. unequal
2. major
3. congruent
4. minor
An angle whose vertex is centre of circle and whose arms pass through end points of an arc is known as ………… angle.
1. inscribed
2. central
3. interior
4. exterior
In the figure, AB = 4 cm, OC = 3 cm. Chord DE passes through mid of OC and is parallel to AB. What is the length of DE?
1. 4.5 cm
2. 5.6 cm
3. 6.6 cm
4. 3.3 cm
Diameter of circle which bisects the chord is ……… to the chord.
1. linear
2. parallel
3. perpendicular
4. equal
Length of two chords of a circle are in the ratio 1 : 3, and central angle of one arc is 60°, the second arc is …………
1. minor
2. major
3. semicircle
4. circle
In the figure, OC = 3 cm, AB = 8 cm. Find the radius of circle.
1. 4 cm
2. 4.5 cm
3. 5 cm
4. 10 cm
The central angle of quadrant of a circle is …………
1. 30°
2. 45°
3. 60°
4. 90°
Two chords which are equidistant from the ………… are congruent.
1. centre
2. diameter
3. circle
4. chord
What is the radius of circle in the figure? (AB = 24 cm, distance from centre = 5 cm)
1. 26 cm
2. 10 cm
3. 5 cm
4. 13 cm

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

In the figure, $\overline{AB} = 4 \overline{BC}$ and , ∠AOB find: ∠OAB + ∠ABC + ∠BCO + ∠COA
A circular decoration piece consists of two equal parts as shown in the figure. Find the length of one part of the piece. What is the cost of decoration piece at Rs. 8 per centimeter?
In the figure, chords $\overline{EF} || \overline{GH }$ . Prove that: $\overline{EG} = \overline{FH}$
Find the length of arc and area of sector a circle with central angle of 60⁰ and radius 14 cm.
In the following diagram, AB = 16 cm, DE = 4 cm. Find the radius of the circle.
In the figure, $\overline{AB} = 4 \overline{BC}$ and , ∠AOB=120° find: ∠OBC
In the figure, $\overline{AB} = 4 \overline{BC}$ and , ∠AOB=120° find: ∠BOC
Given that O is the centre of each of the circles. Find the values of unknown. All dimensions are in cm.

Two parallel chords of lengths 18 cm and 80 cm are drawn on the same side of a circle of radius 41 cm. Find the distance between the chords.
Construct an equilateral triangle with side 5 cm long. Show that one and only one circle can be drawn through the vertices of triangle. What is the radius of circle drawn?
Consider two circles centered at A and B respectively. and $\overline{CD} \text { and } \overline{EF}$ are their chords such that CD = 12 cm, EF = 8 cm and ∠CAD = ∠EBF. Find radius of circle A if radius of circle B is 4 cm.