# Sector area and arc length guided notes

Section 11.1 Circumference and Arc Length 595 Using Arc Lengths to Find Measures Find each indicated measure. a. arc length of AB b. circumference of ⊙Z c. m RS P A B 60° 8 cm Z X 40° Y 4.19 in. T S R 15.28 m 44 m SOLUTION a. Arc length of AB 60= —° 360° ⋅ 2π(8) ≈ 8.38 cm b. Arc length of XY —— C = m XY — 360° c. Arc length ...

The arc length of a circle (that is, the distance a bug would have to crawl to go around the circle exactly once, staying on the circle the whole time) is called its circumference. The ratio of a circle's circumference to twice its radius is a constant, which we represent with the Greek letter π ("pi," pronounced "pie," like the circle-based ...

length of an arc of a circle s = rθ (where θ is expressed in radians) area of a sector of a circle A = ½ r2θ (where θ is expressed in radians) r h volume of a cylinder v = π r2h total surface area of a cylinder TSA = 2 π rh + 2 π r2

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Unit 3 Day 3 Notes – Arc Length and Area of a Sector Date _____ The arc length, s, of a sector of a circle with radius r and central angle T measured in radians, is Examples: 1. Find the length of an arc of a circle with radius 10 m that subtends a central angle of 30º. 2.

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Derive the Area of Polygons. Day 1 - Guided Notes & Problem Set (Circles) ... IXL Practice Below. IXL - Area and Circumference. IXL - Arc Length. IXL - Sectors.

the arc length would double as well! So arc length, L= z rwhere z is the angle measured in radians. There is a similar equation for the area of a sector. In fact, you need to use arc length in order to calculate the area. A= r L 2. Remember, that when calculating area or arc length, it is very important that your angle is in radians, NOT degrees! 7 Arc Length and Sector Area Find the length of each arc. Round your answers to the nearest tenth. 1) 17 mi 300 ° 2) 8 m 45 ° 3) 12 ft 225 ° 4) 15 mi 90 ° 5) 9 cm 45 ° 6) 6 ft 240 ° 7) 13 yd 270 ° 8) 10 ft 225 ° 9) 13 in 90 ° 10) 14 km 195 °-1- Next, multiply the squared radius by pi to get the area. Furthermore, find the area with the diameter, simply divide the diameter by 2, moreover, put the value in the radius formula, and solve it as before. Question 5: What is the arc length formula? Answer: The formula of arc length is L = r × Θ. Here Θ is the central angle, r is the radius. 9.5 Area of Trapezoids. 9.6 Area of a Circle. 9.7 Area of a Sector. 9.8 Area of Regular Polygons. 9.9 Area of Irregular Shapes . Unit 10 Geometry in the Coordinate Plane . 10.1 Introduction to Geometry in the Coordinate Plane. 10.2 Distance on a Coordinate Plane. 10.3 Midpoint Formula. 10.4 Length of Polygons in the Coordinate Plane Note: The zero-vector ~0 has length and direction . De nition 3.(Adding Vectors) Position ~vso its tail is at the tip of ~u, ~u+~v= De nition 4. A scalar is a real number. The book uses a lower case letter. I will typically use De nition 5. If is a scalar and ~vis a vector, then the scalar multiple ~vis De nition 6. ~u ~v= Use the arc length formula to estimate the diameter d of the moon if angle  is measured to be 0.5170. 20 Solution Section 2.2 - Arc Length and Sector Area Exercise The minute hand of a clock is 1.2 cm long. How far does the tip of the minute hand travel in 40 minutes? Solution 40 min  40 min...