Let's analyze the image and solve the mathematical questions:

Questions and Answers

1. Name two minor arcs.

   • Minor arcs are smaller than 180°. In the figure:
     • Minor arcs: PQ and RS.

2. What is the measure of a semicircular arc?

   • A semicircular arc spans half the circle, measuring 180°.

3. What is the measure of arc RST?

   • Arc $RST$ includes the angle $\angle A = 100^\circ$. The measure of arc $RST$ is: $360^\circ - 100^\circ = 260^\circ$

4. What is arc PSR called?

   • Arc $PSR$ is greater than 180°, so it is called a major arc.

5. What is the measure of arc RPS?

   • Arc $RPS$ excludes $\angle A$, which is 100°. Thus, its measure is: $360^\circ - 100^\circ = 260^\circ$

6. Name the radius of the circle.

   • The radius is $AS$, as shown in the diagram.

7. If the radius is 5 cm, what will be the diameter?

   • The diameter is twice the radius: $\text{Diameter} = 2 \times 5 = 10 \, \text{cm}$

8. If the diameter is 21 cm, calculate the circumference.

   • The circumference $C$ is given by: $C = \pi \times \text{diameter} = \pi \times 21 \approx 66 \, \text{cm} \, (\text{using } \pi \approx 3.14)$

9. What is the perimeter of the circle called?

   • The perimeter of the circle is called the circumference.

10. What is the measure of the circle?

    • The measure of a full circle is $360^\circ$.

Do you want further explanation for any question?

Relative Questions:

1. What are major arcs, and can you provide examples from the circle above?
2. How do we calculate the arc length of a semicircle if the radius is given?
3. Why is the diameter of a circle twice the radius?
4. What is the formula to calculate the area of a circle if only the circumference is known?
5. How is the term "sector" related to arcs and radii of a circle?

Tip: Remember, the total angle of a circle is always $360^\circ$, which helps in calculating arc measures.