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.
![12. An arc of a circle measures 60°. If the circle has a radius 8 cm, what is the length of the arc?
13. A circle of radius 6 units has a sector with an area of 15 mu'. What is the length of the arc of the sector?
For items 14 and 15
Using the circle below, construct the given information. Find what is asked.
Secant AV intersects secant ON at R, the center of the circle, forming a sector of the circle with
measuring 45°, a chord 3.82 units, and a radis 5 units.
14. Find the area of the sector of the circle.
15. Find the area of the segment of the circle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e9b91be-8e8e-4394-9572-c972efdac089%2Fb9b9fa56-59c6-40bf-a988-16969d89814c%2Flcuc13kl_processed.jpeg&w=3840&q=75)
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