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.
![**Mathematical Calculation**
Evaluate the expression:
\[
\frac{390 \cdot 381}{142} \approx \underline{\hspace{1cm}}
\]
(Round to three decimal places as needed.)
In this problem, you need to multiply 390 and 381 together, then divide the result by 142. Be sure to round your final answer to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdae00ab4-d615-48c1-8bca-63853cfbe238%2F76ac565e-5144-42e1-bd81-164b78244a65%2Ffmfbbt_processed.png&w=3840&q=75)
![### Section (d): Calculate the Exact Answers
Use your calculator to determine the exact answer to each problem in parts (a) through (c).
#### Problem (a)
\[
\frac{455 + 347}{103} = \square
\]
*(Round to three decimal places as needed.)*
#### Problem (b)
\[
\frac{3 \cdot 384 + 824}{71 + 7} = \square
\]
*(Round to three decimal places as needed.)*
Note: There are no graphs or diagrams in this image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdae00ab4-d615-48c1-8bca-63853cfbe238%2F76ac565e-5144-42e1-bd81-164b78244a65%2Fss97ya_processed.png&w=3840&q=75)
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