Question

I need answer for page 2 plssss

Answer 1

Answer:

Question 4:  The minor arc is AB and has a measure of 115°.

Question 5: $15\pi\: m$

Question 6: The area of the figure is $70.6in^2$

Question 7: $-5.934\: \text{radians.}$

Question 8: $-30^o$

Step-by-step explanation:

Question 4:

The minor arc of the circle that subtends the least degrees, and for this circle it is AB and has a measure of 115°.

Question 5:

The length $L$ of the arc of the circle with a radius $R$ subtending $\theta$ radians is

$L = \theta R$

The arc YPX measures 360° - 90° = 270, which is $\dfrac{3}{2}\pi$; therefore,

$L = \dfrac{3}{2}\pi *10$

$\boxed{L = 15\pi \:m }$

Question 6:

We first need to find what percent of the circle the figure is.

165° is

$\dfrac{165}{360} *100\% = 45.83\%$

percent of 360°.

Therefore, the area of the figure must also be 45.83% of the area of the circle. The area of the circle is  

$A = \pi (7)^2\\A = 153.94in^2$

therefore, the are of the figure is

$A_{seg} = 153.94*45.83\% \\\\\boxed{A_{seg} = 70.6in^2}$

Question 7:

One radian is 57.296°; therefore, -340° in radians is

$\dfrac{-340^o}{57.296^o} = -5.934\: \text{radians.}$

Question 8:

One radian is 57.296°; therefore, $\dfrac{-\pi }{6}$ radians in degrees is

$\dfrac{-\pi }{6}*57.296^o = -30^o$