Q.1 What is the distance from the center of a circle to any point on the circle called?
Diameter
Chord
Radius
Arc
Explanation - The radius is the distance from the center of the circle to any point on its circumference.
Correct answer is: Radius
Q.2 The longest chord of a circle is always the:
Radius
Arc
Diameter
Tangent
Explanation - The diameter passes through the center of the circle and is the longest chord.
Correct answer is: Diameter
Q.3 A line that touches a circle at exactly one point is called a:
Secant
Chord
Radius
Tangent
Explanation - A tangent touches the circle at exactly one point without crossing it.
Correct answer is: Tangent
Q.4 If the diameter of a circle is 14 cm, what is its radius?
14 cm
7 cm
28 cm
21 cm
Explanation - The radius is half of the diameter, so 14 ÷ 2 = 7 cm.
Correct answer is: 7 cm
Q.5 What is the formula for the circumference of a circle with radius r?
πr²
2πr
πd
r²
Explanation - The circumference of a circle is given by C = 2πr.
Correct answer is: 2πr
Q.6 If a circle has circumference 31.4 cm, what is its radius? (Take π = 3.14)
5 cm
10 cm
15 cm
20 cm
Explanation - C = 2πr → 31.4 = 2 × 3.14 × r → r = 5 cm.
Correct answer is: 5 cm
Q.7 The region bounded by two radii and the arc between them is called:
Chord
Sector
Segment
Diameter
Explanation - A sector is a 'slice' of a circle formed by two radii and their intercepted arc.
Correct answer is: Sector
Q.8 If the radius of a circle is doubled, its area becomes:
Doubled
Tripled
Quadrupled
Halved
Explanation - Area = πr². Doubling r makes the area 4 times bigger.
Correct answer is: Quadrupled
Q.9 What is the measure of the angle subtended at the center of a circle by a semicircle?
180°
90°
60°
45°
Explanation - A semicircle subtends an angle of 180° at the center.
Correct answer is: 180°
Q.10 An arc of a circle measuring less than a semicircle is called:
Major arc
Minor arc
Chord
Diameter
Explanation - An arc smaller than a semicircle is a minor arc.
Correct answer is: Minor arc
Q.11 In a circle, a line that cuts the circle at two distinct points is called:
Tangent
Secant
Chord
Radius
Explanation - A secant intersects a circle at two points.
Correct answer is: Secant
Q.12 If the diameter of a circle is 10 cm, what is its area? (Use π = 3.14)
78.5 cm²
31.4 cm²
50 cm²
25 cm²
Explanation - Radius = 5 cm → Area = πr² = 3.14 × 25 = 78.5 cm².
Correct answer is: 78.5 cm²
Q.13 What is the locus of all points in a plane that are equidistant from a fixed point?
Line
Circle
Parabola
Ellipse
Explanation - By definition, a circle is the set of all points equidistant from a fixed point.
Correct answer is: Circle
Q.14 Two circles with the same center are called:
Equal circles
Concentric circles
Identical circles
Similar circles
Explanation - Concentric circles share the same center but have different radii.
Correct answer is: Concentric circles
Q.15 What is the area of a circle with radius 7 cm? (Take π = 22/7)
154 cm²
44 cm²
49 cm²
308 cm²
Explanation - Area = πr² = (22/7) × 7 × 7 = 154 cm².
Correct answer is: 154 cm²
Q.16 The angle subtended by a diameter of a circle at the circumference is always:
45°
60°
90°
180°
Explanation - A diameter subtends a right angle at the circumference of a circle.
Correct answer is: 90°
Q.17 If a circle has area 314 cm², what is its radius? (Use π = 3.14)
5 cm
10 cm
15 cm
20 cm
Explanation - Area = πr² → 314 = 3.14 × r² → r² = 100 → r = 10 cm.
Correct answer is: 10 cm
Q.18 What is the perimeter of a semicircle of radius 7 cm? (Take π = 22/7)
22 cm
36 cm
44 cm
50 cm
Explanation - Perimeter = πr + 2r = 22 + 14 = 36 cm.
Correct answer is: 36 cm
Q.19 If the radius of a circle is 6 cm, what is its circumference? (π = 3.14)
18.84 cm
37.68 cm
75.36 cm
113.04 cm
Explanation - C = 2πr = 2 × 3.14 × 6 = 37.68 cm.
Correct answer is: 37.68 cm
Q.20 What is the length of the diameter of a circle whose circumference is 62.8 cm? (π = 3.14)
10 cm
20 cm
25 cm
30 cm
Explanation - C = πd → 62.8 = 3.14 × d → d = 20 cm.
Correct answer is: 20 cm
Q.21 The distance around the circle is called its:
Area
Circumference
Radius
Chord
Explanation - The circumference is the perimeter (distance around) of a circle.
Correct answer is: Circumference
Q.22 If two radii are drawn to the ends of a diameter, they form:
Straight angle
Right angle
Acute angle
Reflex angle
Explanation - Two radii forming a diameter make a 180° straight angle at the center.
Correct answer is: Straight angle
Q.23 The fixed point inside the circle is called the:
Circumference
Chord
Center
Radius
Explanation - The circle is defined around a fixed point called the center.
Correct answer is: Center
Q.24 What fraction of a circle does a quadrant represent?
1/2
1/3
1/4
1/6
Explanation - A quadrant is one-fourth of a circle (90° sector).
Correct answer is: 1/4
Q.25 The chord passing through the center of the circle is the:
Radius
Tangent
Diameter
Secant
Explanation - The diameter is the special chord that passes through the circle’s center.
Correct answer is: Diameter