Math

Circle

int(s) possible Suppose that point P is on a circle with radius I, and ray OP is rotating with angular speed o. Complete parts (a) through (C) for the given values of t, w, and t r=5 in, a= a radian per min, t= 12 min (a) What is the angle generated by P in time t? 0= radians (Simplify your answer. Type an exact answer, using * as needed. Use integers or fractions for any numbers in the expression) (b) What is the distance traveled by P along the circle in time t? inches (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) S

4. (13 points) Consider the following circle N. Write your answers in terms of t. (a) Find the length of LM. 120° N 24 cm (b) Find the area of triangle LNM. M (c) Find the area of sector LNM. (d) Find the area of the shaded segment.

4. (13 points) Consider the following circle N. Write your answers in terms of T. (a) Find the length of LM. 120° 24 cm (b) Find the area of triangle LNM. M (c) Find the area of sector LNM. (d) Find the area of the shaded segment.

Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equation y = x + 3 intersect the circle with radius 6 and center (0, 3)? a Enter your answer correct to 3 decimal places. Submit Question

A sidewalk is created in the shape of circular sector extending through an angle of 75.0°. What area does it cover if the radius is 5.2 feet? Paragraph B I U UA oh ! + 5: Add a File Record Audio Record Video Page 6: Previous Page Next Page Page 6 of 19 6 Page 7 Submit Quiz 4 of 22 questions saved 7

G-C0.10 In an effort to sketch out a Harry Potter Symbol on her wall, Maya draws a circle, inscribes a triangle in it, and then inscribes a smaller circle inside the triangle. What is true of Point D, the center of the smaller circle, relative to the triangle? B O It is the intersection of the altitudes D O It is the intersection of the angle bisectors A O It is the intersection of the medians C It is the intersection of the perpendicular bisectors

6) Find a set of parametric equations whose graph is the circle. The three plotted points are on the diameter with the middle point at the center of the circle. (Hint: Remember you can base your equations from the unit circle.) (-21.33) (-21.-5)

23 1 point Which equation describes the circle with center (5,-1) and radius 7? A (x - 5)* + (y + 1) = 7 B (x - 5) + (y +1)* - 49 c (x + 5) + (y - 1) = 7 D (x+5)* + (y - 1)* = 49 O A B C D Previous hp C

4) Consider the parametric equations X=1-3t and y=+6. Make a table for -ZSES 3, and then graph those points on the grid provided. Indicate the "direction of movement over time", either with labeled -values and/or with arrows. p 14 15 (4,5) 51 + XY - -14 16(1,6) 1 -a & 3 1-8 19 (-8,9) 21:27) Es 18 (-5,5) +42 (orth N. wton 50 5) Eliminate the parameter for the following parametric equations: x = 5t +1 y = -2t + 12 V: 50 tl X-5t1 - X41-5€ Vx+16=t x = (t + 4) y = 6-8 x-t²+16 X-16-t² y = 6/11 H16) -8 Y-3t+11 9= -2(x+1)+ 12 bell when it is 447 ground with an and 2017. The bulle bol al 30'angle horizontal heads tour fence 358ff from hom 6) Find a set of parametric equations whose graph is the circle. The three plotted points are on the diameter with the middle point at the center of the circle. (Hint: Remember you can base your equations from the unit circle.) (-21.33) Itof 450 x=(120com 14²-16+ ² + (12 (-21.06)

Question 17 In the image below circle A and circle B were used to create which of the following constructions? 9 10 A 1 B 11 12 13 Answer A Copying an angle. 14 B Copying a segment. C Constructing a median. D Constructing a perpendicular bisector. 15 Question 17

Student Resume & Writing Guide Remaining time: 49:51 (min:sec) Problem 2. (1 point) College Student that lands you the... Rewrite the equation of this circle in standard form: m2 - 122 + y2 + 2y + 3 = 0 - Ogle.com Standard Form: - Center: (-8,-1) che Night Away Party Bus Rental coachline.com y bus rental allows roup to fully enjoy y... Radius: 2 List 4 points on the circle • Do not use decimal approximations. .Enter radicals such as 15 as 'sqrt(15)' instead of using rational exponents. • You do not need to reduce your radicals for this problem. Note: You can earn partial credit on this problem. preview answers Entered Answer Preview Result Message incorrect incorrect (-8,-1) (-8, -1) incorrect The first coordinate is incorrect 2 2 incorrect incorrect At least one of the answers above is NOT correct. 3 of the questions remain unanswered.

For the following rectangular equation, give the equivalent polar equation and sketch its graph. x² + y2 = 36 The polar form of the rectangular equation is (Use a comma to separate answers as needed. Type each answer only once.)

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