5. A sector in a circle of radius r сm has area 6 cm² and the arc opposite @ has length a cm. Determine r and 0 (in radians) analytically and exactly. 7
radians. 4 3) For a circle of radius 5m, find the length of the are that subtends an angle of Also, find the area of the sector that is subtended by the same angle. Length of arc Area of sector
1. Find the length of the arc subtended by the following angles and the area of the wedges. For each, draw a graph of the angle in standard position, labeling the arc length in each drawing. o 37 degrees of a circle with radius 2. 0-100 degrees of a circle with radius 3/5. 07/3 radians of a circle with radius e. o 57/4 radians of the unit circle.
7 In the diagram below of circle O, chords AB and CD intersect at E. C B 50° 349 E A D .0 If m ZAEC = 34 and mAC = 50, what is mDB? 1 16 2 18 3 68 4 118
M dih 8. Given circle O with a radius of 16cm and mZPOR = 158º, find the following: Find the arc length of PR. Round to the nearest tenth. pl 16cm 158 R b) Find the area of sector POR. Round to the nearest hundredth.
A kitchen bench is in the shape of a segment of a circle. The segment is bounded by an arc of length 200 cm and a chord of length 160 cm. The radius of the circle is r сm and the chord subtends an angle at the centre of the circle. 200 cm 160 cm NOT TO SCALE rcm rcm (i) Show that 1602 = 2r2(1 - cos 6). (ii) Hence, or otherwise, show that 802 + 25 cos 0...
#7a & b 7. A regular pentagon is inscribed in a circle with radius 10 cm. A a) (4pt) Find the length of arc AC. Include units S=er So T25 S30 6 10am b) (4pt) Find the area of sector AOC. Include units. A=re 25 cm2 D 3 45 lutions per second. 12 f25 8. A Ferris 10 +sS l
14. The vector v has initial point P and terminal point Q. Writev in the form ai + bj, that is, find its position vector. P = (3,6); Q=(-1,-2) A) v = 4i +8j B) v = 8i + 4; C) v = -8i - 4j D) v=4i-8j Fill in the blanks 15. Convert the angle in degrees to radians. Express the answer as multiple of T. 154 16. Convert the angle in radians to degrees 37 17. If A...
(1 point 16 18 I W AB has length 18 and AC has length 16, find: • The length of MC . The measure of angle B in degrees): . The measure of angle in degrees): If you use a calculator to find a decimal approximation, your answer must be accurate to at least 3 decimal places If you're using a calculator, be sure that your calculator is set to degrees, not radians You are also allowed to use the...
A circle with a radius 4 cm long is inscribed within a square (as shown below). Point A starts at the 3-o'clock position and moves CCW along the circle. Point B is fixed at the bottom-left comer of the square. Let o represent the given angle's measure (in radians) where Point A is the terminal point. In the applet below, you can move Point A to examine the situation a. Write an expression (in terms of 8) that represents Point...