PS-Geometry

PS Questions of Geometry

If the area of a circle in square feet equals its radius in feet, then the circle's radius, in feet, is closest to
Given ∏R2 =R => R = 1/∏ =7/22 (Now we know 1/22 as a percentage is 4.16 and hence 7/22 will be 4.16*7 = 29.12%) Closest option as a decimal is (b) as (a)...
Tue, 12 Oct, 2021 at 1:35 PM
In triangle ABC, AB = BC. If angle A = (4x – 30)° and angle C = (2x + 10)°, find the number of degrees in angle B. (A) 20 (B) 40 (C) 50 (D) 60 (E) 80
Since AB=BC, 4x−30=2x+10 =>x=20∘ Thus 4x-30=50 and the other angle 2x+10 should also be 50. The third angle asked =180-(50+50)=80 (OPTION E)
Tue, 12 Oct, 2021 at 1:35 PM
What is the circumference of circle C ? (1) The radius of circle C is 2π. (2) The center of circle C is located at point (7,8) in the xy-plane.
SOLUTION: Statement (1) -Using the given radius, Area can be calculated.(Sufficient) Statement (2)-Using the coordinate of the center, we DO NOT have enou...
Tue, 12 Oct, 2021 at 1:35 PM
What is the value of x?(45 degrees or 30 degrees)?
In this question testing basics of Geometry, we use two properties to solve the question: (1) Vertically opposite angles are equal (2)Sum of two internal ...
Tue, 12 Oct, 2021 at 1:35 PM
In the xy plane, the distance between the origin and the point (4,5) is the same as the distance between which of the following two points?
SOLUTION: A NEW OG 2021 QUESTION First, find the distance between (4,5) representing (x1,y1) and (0,0) representing (x2,y2) using the distance formula (D...
Tue, 12 Oct, 2021 at 1:35 PM
Tanks A and B are each in the shape of a right circular cylinder. The interior of Tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The ca
A NEW OG 2021 QUESTION Volume of Tank A (VA) = pi * (R1)^2 * H1 Volume of Tank B (VB) = pi * (R2)^2 * H2 Circumference (A)=8 => 2*pi* R1 =8=> R1 = ...
Tue, 12 Oct, 2021 at 1:57 PM
What is the perimeter of the triangle in the figure above?
CONCEPT: Geometry -Sides opposite to equal angle are equal- SOLUTION: The side opposite to angle x would be 6 each. The sides opposite to equal angles ...
Tue, 12 Oct, 2021 at 1:58 PM
Find the perimeter of a square whose diagonal is 62√62.
CONCEPT:-Mensuration -Let the side of the square be "a" -Then the Perimeter = 4a -Diagonal of the square=√2a SOLUTION  : With diagonal 6√2 units,...
Tue, 12 Oct, 2021 at 1:58 PM
How many different triangles exist in which no two sides are of the same length, each side is of integral unit length and the perimeter of the triangle is less than 14 units?
CONCEPT:-Geometry  -Sum of two sides is greater than the third side in a triangle  SOLUTION: Since the perimeter is less than 14 and all the sides are int...
Tue, 12 Oct, 2021 at 1:58 PM
Find the number of degrees in the sum of the interior angles of a hexagon.
CONCEPT: This question tests on the basics of polygons. SOLUTION:   Sum=(n−2)*180 where n= number of sides in a regular polygon; In a hexagon n=6 =(6−2)*...
Tue, 12 Oct, 2021 at 1:59 PM