A circle is a shape formed by a curved side. Therefore, the required answers are:
1. An example of an inscribed angle is: <SQT or <QST or <QTS
2. An example of a minor arc is: arc QT or RS or QR
3. An example of a semicircle is: QRS or QTS
4. <QPR = [tex]\frac{264600}{44r}[/tex] degrees
An angle is said to be formed whenever two or more straight lines intersect or meet. But an inscribed angle is an angle formed within a given circle.
A circle is a shape formed by a curved side. Some of its parts are semicircle, radius, diameter, chord, sector, segment, etc.
Thus the following can be deduced from the given question:
1. An example of an inscribed angle is: <SQT or <QST or <QTS
2. An example of a minor arc is: arc QT or RS or QR
3. An example of a semicircle is: QRS or QTS
4. <QPR.
length of an arc = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r
where r is the radius of the circle
105 = [tex]\frac{x}{360}[/tex] x 2 x [tex]\frac{22}{7}[/tex] x r
= [tex]\frac{44xr}{2520}[/tex]
44 xr = 105 x 2520
44xr = 264600
x = [tex]\frac{264600}{44r}[/tex]
Therefore the measure of angle QPR in terms of r is [tex]\frac{264600}{44r}[/tex] degrees.
5. The length of arc QTR can be determined by;
Arc QTR = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r
For more clarifications on parts of a circle and the length of an arc, visit: https://brainly.com/question/27128255
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