Find the length of both arc AB and arc APB, where

Mathematics

2 answers:

Alexeev081 [22]4 years ago

7 0

Check the picture below.

as you can see, the angle at P is the inscribed angle, and the intercepted arc is AB, thus 2P = arcAB.

and since a circle has a total of 360°, the other arc is just 360 - arcAB.

nika2105 [10]4 years ago

5 0

The length of the arc cannot be found without knowing some linear measure of the circle. None are given.

The measure of arc AB is twice that of angle APB, so is
  2*108° = 216°.
The measure of arc APB is the difference between that and 360°, so is
  360° -216° = 144°.

You might be interested in

The conservation club has 32 members. There are 18 girls in the club.

butalik [34]

The answer is D. because if there is 32 total, and 18 of them are girls, that means that there are 14 boys . with the question asking for girl/boy ratio it would have to be 18/14 in that order . if you divide 18 and 14 by two, they simple down to 9/7 . making the answer D.

4 0

3 years ago

Read 2 more answers

Vector upper a overscript right-arrow endscripts has a magnitude of 69 units and points due west, while vector upper b overscrip

Tom [10]

Refer to the figure below.

Define unit vectors as follows:
$\hat{i}$ in the eastern direction
$\hat{j}$ in the northern direction

Given:
Vectors a and b point due west and south respectively. Therefore
$\vec{a} = -69 \ht{i} \\
\vec{b} = -69\hat{j}$

Part (a)
$\vec{a}+\vec{b}=-69\hat{i}-69\hat{j}=-69(\hat{i}+\hat{j})$
The magnitude is
|-69(√[1² + 1²])| = 69√2 = 97.58.
The direction relative to west is
θ = tan⁻¹ (b/a) = tan⁻¹ 1 = 45° south of west

Answer:
The magnitude of (a + b) is 97.58 or 69√2.
The direction is 45° south of west.

Part (b).
$\vec{a} - \vec{b} = -69\hat{i}+69\hat{j}=-69(\hat{i} -\hat{j})$
The magnitude is
|69(√(1+1)| = 69√2 = 97.58.
The direction relative to west is
tan⁻¹ (b/a) = 45° north of west.

Answer:
The magnitude of (a-b) is 97.58 or 69√2.
The direction is 45° north of west.