Mathematics · Question Bank
Plane Geometry
23 questions · page 1 of 2. Answer in your head first, then check the solution.
#1📜 Preboard📘 PowerhouseEasy
A line segment joining two points on a circle is called:
Aarc
Btangent
Csector
Dchord
#2📜 Preboard📘 PowerhouseEasy
Find the number of sides of a regular polygon if each interior angle measures 108 degrees.
#3📜 Preboard📘 PowerhouseEasy
Lines that intersect at a point are called ______.
Askew lines
Bintersecting lines
Cagonic lines
Dcoincident lines
#4📜 Preboard📘 PowerhouseEasy
Find the area of the triangle whose sides are 25, 39 and 40.
#5📜 Preboard📘 PowerhouseEasy
A/An ______ triangle is a triangle having three unequal sides.
Aoblique
Bscalene
Cequilateral
Disosceles
#6📜 Preboard📘 PowerhouseEasy
A statement the truth of which is admitted without proof is called
Aan axiom
Ba postulate
Ca theorem
Da corollary
#7📜 Preboard📘 PowerhouseEasy
The angle of a sector is 30 degrees and the radius is 15 cm. What is the area of the sector?
A59.8 sq. cm
B58.9 sq. cm
C89.5 sq. cm
D85.9 sq. cm
#8📜 Preboard📘 PowerhouseMedium
In triangle ABC, AB = 40 m, BC = 60 m and AC = 80 m. How far from A will the other end of the bisector of angle B be located along line AC?
#9📜 Preboard📘 PowerhouseEasy
A railroad curve is to be laid out on a circle. What radius should be used if the track is to change direction by 30 degrees in a distance of 300 m?
#10📜 Preboard📘 PowerhouseMedium
A chord is 36 cm long and its midpoint is 36 cm from the midpoint of the longer arc. Find the radius of the circle.
A22.5 cm
B18 cm
C20.25 cm
D27 cm
#11📜 Preboard📘 PowerhouseEasy
Find the area of the largest circle which can be cut from a square of edge 4 in.
A6.28 sq. in
B12.57 sq. in
C16 sq. in
D50.27 sq. in
#12📜 Preboard📘 PowerhouseEasy
The arc of a sector is 9 units and its radius is 3 units. What is the area of the sector in square units?
#13📜 Preboard📘 PowerhouseEasy
All circles having the same center but with unequal radii are called
Aencircle
Btangent circles
Cconcyclic
Dconcentric circles
#14📜 Preboard📘 PowerhouseHard
The areas of a regular pentagon and a regular hexagon are both equal to 12 sq. cm. What is the difference between their perimeters?
#15📜 Preboard📘 PowerhouseEasy
In a circle of diameter 26 cm, a chord 10 cm in length is drawn. How far is the chord from the center of the circle?
#16📜 Preboard📘 PowerhouseEasy
The length of the median drawn to the hypotenuse of a right triangle is 12 inches. Find the length of the hypotenuse.
#17📜 Preboard📘 PowerhouseEasy
The area of a right triangle is 50. One of its angles is 45°. Find the hypotenuse of the triangle.
A10
B\(5\sqrt{2}\)
C\(10\sqrt{2}\)
D20
#18📜 Preboard📘 PowerhouseEasy
Find the area of the largest circle which can be cut from a square of edge 4 in.
A12.57 sq. in
B3.43 sq. in
C50.27 sq. in
D16 sq. in
#19📜 Preboard📘 PowerhouseEasy
The area of a rhombus is 264 sq. cm. If one of the diagonals is 24 cm long, find the length of the other diagonal.
#20📜 Preboard📘 PowerhouseEasy
Find the sum of the interior angles of a regular hexagon.