Geometry Questions for Competitive Exams
The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC=90º, then the radius of circle is
(A) 25 cm
(B) 20 cm
(C) 4 cm
(D) 5 cm
Correct Answer : D
In a regular polygon, the exterior and interior angles are in the ration 1:4.The number of sides of the polygon is
(A) 5
(B) 10
(C) 3
(D) 8
Correct Answer : B
AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT=75° and ∠BAC=45° and C being a point on the circle, then ∠ABC is equal to
(A) 40°
(B) 45°
(C) 60°
(D) 70°
Correct Answer : C
The length of the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to:
(A) 4 cm
(B) 5 cm
(C) 6 cm
(D) 8 cm
Correct Answer : B
Find measure of central angle of the arc whose length is 22 cm and radius of the circle is 28 cm?
(A) 60°
(B) 45°
(C) 75°
(D) 90°
Correct Answer : B
If the length of the three sides of a triangle are 6 cm, 8 cm, and 10 cm, then the length of the median to its greatest side is
(A) 8 cm
(B) 6 cm
(C) 5 cm
(D) 4.8 cm
Correct Answer : C
In the given figure, DE‖BC and DE=1/3 BC if area of triangle ADE=20 sq. cm, then what is the area (in sq.cm) of the triangle DEC?
(A) 40
(B) 60
(C) 80
(D) 120
Correct Answer : A