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What I Can Do give the following problems. 8 What is It Additional Activities s. Pacman has a radius of 2 cm. Her whole body formed a PART I: SECTOR AND SEGMENT OF A CIRCLE This part of the module provides you a supplementary activity to enhance your There are three main concepts that will be discussed in this part of module 4 namely 30-degree angle. How many square centimeters does her knowledge and skill of the lessons learned. body have? sector a circle, segment of a circle and are length. jou eat two slices of a 14-inch pizza which A sector of a circle is the region bounded by an arc of the circle and the two radii to have a total of 34 square inches. At what 2........ 1. Find the area of the Compute the haded region. `area of the shaded the endpoints of the arc. To find the area of the sector of a circle, calculate the product of the angle were the pizza slices cut? Round your region. measure of the given are 0 in degrees answer to the nearest whole number. 9 em area of the circle and the ratio of - 360 90% Calculate the length 4. solve for mFG. In symbol, Asector = 17-2 . _ 360 where r is the radius and @ is the given arc. from the main entrance of a park, there of arc AB. two pathways where visitors can walk Example 1: The radius of circle C is 10 cm. If mAB = 60, what is the area of the sector ACB? along going to the circular garden. The Garden. Step 1: Identify the given and unknown information. pathways are both tangent to the circular r = 10 cm, 0 = 60%, AsectorACB =? garden. If the pathways formed a 20-degree 6. Find the angle and the radius of the garden is 9 m, measure of Step 2: Substitute (plug in) the given information and solve. C 10 cm a. what is the degree measure of the smaller intercepted arc? ZNVT. Asector ACH = #(10)2. 60 b. how long is the larger intercepted arc? 109" 360 Assessment = 100m - 1 100 50 This part of the module aims to evaluate your level of mastery in achieving the 6 61=710' 78.5 cm? learning competencies. On the other hand, a segment of a circle is the region bounded by an arc and a chord. An example of a segment of a circle is shown at Encircle the letter that corresponds of the correct answer. w. wwill wwww the right. It is the region bounded by minor are PQ and chord PQ. compute for the area 2. And the length of AB. W. Calculate the unknown measurements ofthe given sector. To calculate the area of the segment of a circle, get the difference 120" A. 9n units B. 8 x units 1209 9) mic =_ of the area of the sector and the area of the triangle. A. 2945 B. 147x 11) mad = o C. 7 x units D. 6 x units C. 63m D. 14x 10) m/BAC =_ 12) mot = How many square units he radius of a circle is 4 cm. Find the the area bounded by of the sector if the length of the 13) maTIA = 15) MZABC = AB and AB? intercepted arc is 2 cm. 12 Area of sector Area of triangle = Area of segment A. 13.0 B. 11.1 A. xem B. 4x cm 14) meFAI =_ 16) mZACH = In symbol, Asegment = Asector - Atriangle where Asector = mr? . and Atriangle = C. 8.0 D. 6.6 C. 6 cm D. an cm] stermine the 17) m/AL = Take note that the area of a triangle is half the product of its base (b) and height (h). 19) Asector =_ dasure of ZERO. Example 2: The radius of circle C is 24 units. If the meACB = 120, find 18) m/LKJ - B. 46 20) Are length= 1. 36" the area of the shaded region. C. 730 D. 146" Step 1: Find the area of the sector. The givens are r = 24 and 0 = 1200. 24 120 To solve for AsectorACE = 172. 8 360 = 17(24)2 . 120 1 576 360 = 5761 = 71 = 192n = 603.2 square units