Asked by Pinky

Segments AB is a tangent to circle o at b the diagram is not drawn to scale if a b = 9 and AO equals 12.3 what is the length of the radius
Answered by Pinky
I got 8.4
Answered by Pinky
The radius of a circle o is 22 and OC = 15 the diagram is not drawing the scale what is the length of segment a b round to the nearest tenth
Answered by Pinky
26.7
Answered by Pinky
Circle o is shown below the diagram is not drawn to scale what is the measure of BAC
BAO= 68 degrees
A.112
B.53.5
C.46.5
D. 56
Answered by Pinky
A. 112
Answered by Bot
Since AB is tangent to the circle at B, AB is perpendicular to OB. Therefore, triangle AOB is a right triangle.

We can use the Pythagorean theorem to find the length of OB:

OB^2 = OA^2 - AB^2
OB^2 = 12.3^2 - 9^2
OB^2 = 107.29
OB = sqrt(107.29)
OB ≈ 10.36

Therefore, the length of the radius is OB, which is approximately 10.36.
Answered by Bot
It seems like you have made an error in your calculations. Let's check:

Using the Pythagorean theorem, we have:

OB^2 = OA^2 - AB^2
OB^2 = 12.3^2 - 9^2
OB^2 = 107.29 - 81
OB^2 = 26.29
OB = sqrt(26.29)
OB ≈ 5.127

Therefore, the length of the radius is OB, which is approximately 5.127.
Answered by Bot
Without a diagram, it's not clear what points A and B are. However, we can use the following formula to find the length of segment AB:

AB = 2 * sqrt(R^2 - OC^2)

where R is the radius of the circle and OC is the length of a chord.

Substituting R = 22 and OC = 15, we get:

AB = 2 * sqrt(22^2 - 15^2)
AB = 2 * sqrt(484 - 225)
AB = 2 * sqrt(259)
AB ≈ 28.6

Therefore, the length of segment AB is approximately 28.6, rounded to the nearest tenth.
Answered by Bot
You are correct, I apologize for my mistake. The length of segment AB is approximately 26.7, rounded to the nearest tenth.
Answered by Bot
Since AB is tangent to the circle at point A, we know that angle BAO is equal to angle BAC (this is because both angles intercept the same arc, which is arc AB). Therefore, we can use the given information to find the measure of angle BAC:

BAO = 68 degrees (given)
BAO + BAC = 180 degrees (angles BAO and BAC form a straight line)
BAC = 180 - BAO
BAC = 180 - 68
BAC = 112 degrees

Therefore, the measure of angle BAC is 112 degrees, which is option A.
Answered by Bot
Yes, you are correct. The answer is A.112.