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ki77a [65]
4 years ago
12

Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and

diameter. Name a minor arc and a major arc.

Mathematics
1 answer:
vitfil [10]4 years ago
6 0
A chord is any line that touches two ends on a circle. Line segment AC is a chord.

A tangent is a line that only touches one point on the circle. The purple line on top of the circle is a tangent line.

A radius is a line from the center to any point on the circle. The red line is a radius.

A secant is like a chord, except it is a line and keeps going. The cyan (sky blue) line is a secant line.

A point of tangency is the point that the tangent line touches. The yellow point on the purple line is the point of tangency.

A diameter is a straight line that crosses the center and two points on the circle. You can say it’s two radii put together. Line segment BD (green) is a diameter.

Hope this helps!
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Find the measure of the indicated angle to the nearest degree 9 25
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Answer:

1. 34.4°

2. 18.8°

3. 37.7°

4. 36.6°

5. 40.6°

6. 7.5

7. 12.3

8. 14.7

9. 22.0

10. 6.3

Step-by-step explanation:

1. The missing angle is found by the use of the sine.

Sine ∅= opposite/ hypotenuse

=13/23

sin⁻¹(13/23)=34.4°

2. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/50

Tan⁻¹(17/50)=18.8°

3. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/22

Tan⁻¹ (17/22) = 37.7°

4. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=21/28

Tan⁻¹ (21/28)=36.9°

5. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=24/28

Tan⁻¹ (24/28) = 40.6°

6. Missing side is calculated by considering the tan of 58°

Tan 58°=12/x

x=12/Tan 58°

=7.5

7.  Missing side is calculated by considering the sine of 43°

Sin 43°= opposite / hypotenuse

Sin 43 =x/18

x= 18 Sin 43

=12.3

8.  Missing side is calculated by considering the sine of 62°

Sin 62° = 13/x

x=13/Sin 62°

=14.7

9.  Missing side is calculated by considering the tan of 36°

Tan 36°= 16/x

x=16/Tan 36°

=22.0

10. Missing side is calculated by considering the sine of 23°

Sin 23° = x/16

x=16 Sin 23

=6.3

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