Question

So far, we have just looked at a terminal point's distance to the right of the circle's center. However, we can also think about the point's vertical distance above the circle's center. Let's reconsider the angle measuring 1 radian. The applet below shows an angle with a measure of 1 radian whose initial ray is at the 3-o'clock position. There is a circle centered at the angle's vertex, and you can change the size of the circle using the slider at the top-left of the applet. 3.36 cili 4 cm a. Adjust the size of the circle's radius length to 2 cm. i. The terminal point's distance above the circle's center is how many times as large as the radius of the circle? * Preview ii. Therefore, the terminal point's distance above the circle's center measured in radius lengths is: 3. Preview b. If the circle has a radius of 3 cm, what is the terminal point's distance above the circle's center measured in radius lengths? #radii Preview c. If the circle has a radius of 4 cm, what is the terminal point's distance above the circle's center measured in radius lengths? *radii Preview

Answer 1

Upvote please.

Solution (9) If radius length to 2cm them the right angle contained in circle dooks like Plierminal point) 3,36cm cm then PA sint = 0.84 = PA= 2X0.84 cm op - (1) Hence, the terminal point distance above the circle centre is 10.84 timex as large as the radius of the circle. ii) Therefore, the terminal points distance above the circle's Centre measured in radius length is PA= 2x0.84 cm => [PA = 1.68 cm . (b) I radius of Circle is 3cm, then PA - sini = 0.84 => PA=3x0.84 IPA = 2.52cm (c) If radius of Circle is 4 cm, then PA - Sin = 0.84 » PA-4x0.84 odes PA = 3.36 cm Page Lyl