Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc

If the incentre of an equilateral triangle lies inside the triangle and its radius is $3 \mathrm{cm}$, then the side of the equilateral triangle is:

How much time does the minute hand of a watch take to describe an angle of $\frac{3\mathrm{\pi }}{2}$ radians ?

The number of sides in a regular polygon is $10$. Its each interior angle is:

The total area of a circle and a rectangle is equal to $1166 {\mathrm{cm}}^2.$ The diameter of the circle is $28 \mathrm{cm}$. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is $25 \mathrm{cm}$?

If in a triangle $\mathrm{ABC}, \mathrm{AB}=\mathrm{AC},\angle \mathrm{A}=\mathrm{x}+15°,\angle \mathrm{B}=2\mathrm{x}+25°$ then the value of $\angle \mathrm{C}$ is _____.

The area of a square is equal to that of the area of a rectangle. The length of the rectangle is $5 \mathrm{cm}$ more than the side of square and width is $3 \mathrm{cm}$ less than the side of the square. The perimeter of the rectangle is-

In the following figure, angle opposite to side $\overline{\mathrm{BC}}$  is _____.

Look at the circle in the following figure.

Name all the points marked on the circumference of the circle.

Look at the following figure.

Write the name of the six line segments.

Look at the following figure and answer the following.

Name the points marked in the exterior of the angle.

Look at the following figure and answer the following.

Name all the points marked on $\angle POQ$.

Identify collinear points in the following figure:

Identify collinear points in the following figure:

Identify collinear points in the following figure:

Look at the polygon in the following figure.

State: all pairs of opposite angles.

Look at the polygon in the following figure.

State: all pairs of adjacent angles.

Draw a polygon with sides $\overline{\mathrm{PQ}}, \overline{\mathrm{QR}}, \overline{\mathrm{RS}} \mathrm{and} \overline{\mathrm{SP}}$. Name all of its angles.

Look at the following figure.

Name all points marked on the circle.

The boundary of a circle is known as its _____.

Look at the following figure.

Name all the arcs marked on the circumference.