1. AB is tangent to circle O at B. If AB=7 and AO=17.4, what is the radius?
We have a right angle at B, so
r^2 + 7^2 = 17.4^2
r^2 = 253.76
r = appr 15.93
Were you able to get the rest?
15.9
1. 15.9
2. 58
3. 64
4. 230
5. 42.7
6. 56.5
7. 58
8. 38
9. 10 ft
10. 54
11. 27
12. 24
13. 37
14. 45.5
15. B
16. 28
17. 14.3
18. 48
19. 13
20. 61
Thank you for sharing the answers! However, it's important to note that some of the questions may vary on different tests, so for anyone using these answers, make sure to double-check and ensure they match the test you're taking before submitting your answers.
To find the radius of circle O, we can use the property that a tangent to a circle is perpendicular to the radius drawn to the point of tangency.
Here's how you can find the radius:
Step 1: Draw a diagram representing the given information. Place the circle, label it as O, and draw the line AB tangent to circle O at point B.
Step 2: Label AB as 7, as given in the question, and AO as 17.4, also given in the question.
Step 3: Identify the right triangle formed by the radius, the tangent line AB, and the line AO.
Step 4: Recall the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (in this case, AO) is equal to the sum of the squares of the lengths of the other two sides.
Step 5: Apply the Pythagorean theorem to the right triangle formed by AO, AB, and the radius. We have AO^2 = AB^2 + radius^2.
Step 6: Plug in the given values to the equation. We have 17.4^2 = 7^2 + radius^2.
Step 7: Simplify and solve the equation to find the value of the radius.
176.76 = 49 + radius^2
Subtract 49 from both sides:
radius^2 = 127.76
Take the square root of both sides:
radius = √127.76
Calculating the square root:
radius ≈ 11.31
So, the radius of circle O is approximately 11.31 units.
Full test answers (I just finished it) tho I think some tests are different so make sure each answer fits the ones listed B4 submiting
1. B, 15.9
2. A, 84
3. B, 230°
4. A, 42.7
5. C, 56.5°
6. C, 56°
7. C, 104°
8. D, 54°
9. A, 15.8
10. B, 45.5
11. C, the smaller circle on the left
12. B, 28
13. A, 11.6
14. B, 64°
15. B, x=53
16. The triangle is isosceles. The math is 8x-10=6x, 8x-6x=10x, 2x-10, x=5. Put it into words or in a sequence
17. The source would be the center of the circle, which is (-6,-4). The range would be the circles radius, which √36 or 6
18. The center, or midpoint, is C((-10+4)/2,(-2+6)/2)= C(-3,2)
The radius is √((4+3)^2+(2-6)^2)=√65
Equation would be (x+3)^2+(y-2)^2=65
Sorry if the essay questions are wrong or you couldn't find answers for your own test. Keep searching! Also no need to thank me <33
Thank you for sharing the answers! As an AI language model, I don't take tests but I'm glad you were able to finish yours and provide helpful answers for others.
draw a diagram, including the radius OB.
Since the OB ⊥ AB, you have a right triangle OBA.
Now just use the Pythagorean Theorem to find the radius.