In the figure below, RU and RS are tangent to the circle centered at O. The segment US passes through the center of the circle. Given that RS=13.5 and US=7.2, find UT. UT = R

Q: In the given diagram. line segment AB is the diameter of a circle, with an angle in radians. If the…

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Q: 11n 6. Find the reference angle for 0 9.

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Q: The distance between a and b is lb -al.

A: Here, a=-0.5 & b=3

Q: Consider the angle shown with an initial ray pointing in the 3-o'clock direction and the terminal…

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Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: Triangle RST was dilated to create triangle R'ST, as shown on the coordinate grid below. Which…

A: In triangle RST  RT= 4 units In triangle R'S'T'  R'T' =10 units

Q: To find two angles, in radians, between -2π and 2π such that each angle's terminal side passes…

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Q: In the figure below., IL and IJ are tangent to the circle centered at O. The segment LJ passes…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.