Geometry Questions

Which of the following best describes a straight angle?

In a given square figure $\text{ABCD}$, both main diagonals $\text{AC}$ and $\text{BD}$ are drawn, intersecting each other at point $\text{O}$. Count the total number of triangles formed inside the figure.

A sphere has a radius of $9.21\text{cm}$. What is its volume? (Use $\pi =3.14$)

Two circles of radii $8\text{cm}$ and $17\text{cm}$ are externally tangent to each other. Find the distance between their centres.

If the side length of a square garden is $2,800\text{meters}$, how much fencing is needed to enclose it?

A circle has a radius of $92.8\text{cm}$. What is the circumference of the circle? (Use $\pi =3.14$)

Read the question and statements provided and decide whether the data provided in the statements are sufficient to answer the question.
Question: Find the area of a triangle.
Statements:
I. One of its sides is $6\text{ units}$.
II. It is an equilateral triangle.

In a rhombus, one diagonal is $40\text{cm}$ and the other diagonal is $22\text{cm}$ longer than half the first diagonal. Find the length of each side of the rhombus.

How many quadrilaterals are there in the given figure?

Starting from a point, Karan moves $6\text{km}$ in one direction and then $8\text{km}$ at a right angle to his initial path. What is the direct distance between his starting point and his final position?

A question along with a set of statements is given. Find which of the given statements is/are sufficient to answer the question.
Question: Find the perimeter of a triangle given that:
Statements:
I. Area of the triangle is $24\text{sq. units}$.
II. Height of the triangle is $4\text{units}$.

In ΔXYZ, R and S are points on the sides XY and XZ respectively, such that RS is parallel to YZ. XR=15cm, XY=25cm, XS=12cm and XZ=20cm. RS is equal to:

If the volume of a cube is given as 12167cm
3
, then the surface area of the cube will be:

In ΔABC, D and F are the midpoints of the sides AB and AC, respectively. E is a point on the segment DF such that DE:EF=1:2. If DE=4cm, then BC is equal to: