ACTIVITY
Answer the following questions. Write the correct answer.
III. PRE-ASSESSMENT Part I Find out how much you already know about the topics in this module, Choose the letter that you think best answers each of the following questions. Take note of the items that you were not able to answer correctly and find the right answer as you go through this module. 1. What is an angle whose vertex is on a circle and whose sides contain chords of the circle? A, central angle C. circumscribed angle B. inscribed angle D. intercepted angle 37 / 182 2. An arc of a circle measures 30", If the radius of the circle is is the length of the arc? A. 2.62 cm B. 2.3 cm C. 1.86 cm D. 1.5 cm 3. Using the figure below, which of the following is an external secant segment of OM? C E O E'S A. CO C. NO B. T/ P D. NI 4. The opposite angles of a quadrilateral inscribed in a circle are A. right C. complementary B. obtuse D. supplementary 5. In O'S at the right, what is myVS/ it mv/ = 140? A. 35 C. 140 B. 75 D. 230 6. What is the sum of the measures of the central angles of a circle with no common interior points? A. 120 B. 240 C. 360 D. 4807. Catherine designed a pendant, It is a regular hexagon set in a circle. Suppose the opposite vertices are connected by line segments and meet at the center of the circle. What is the measure of each angle formed at the center? A. 22.50 B. 45 C. 60 D. 720 8. If an inscribed angle of a circle intercepts a semicircle, then the angle is A. acute B. right C. obtuse D. straight 9. At a given point on the circle, how many line/s can be drawn that is tangent to the circle? A. one B. two C. three D. four 10. What is the length of ZK in the figure on the right? A. 2.86 units C. 8 units 5 B. 6 units D. 8.75 units K 11. In the figure on the right, mXY = 150 and mMN = 30. What is m_XPY ? A. 60 B. 90 C. 120 D. 180 EPE 12. The top view of a circular table shown on the right has a radius of 120 cm. Find the area of the smaller segment of the table (shaded region) determined by a 60 arc. A. (2400m -3600/3) cm 60" B. 3600 3 cm 120 cm C. 2400 cm? D. (14 400/T -3600-/3) cm13. In OO given below, what is PR if NO = 15 units and ES = 6 units? A. 28 units E R B. 24 units C. 12 units D. 9 units 14. A dart board has a diameter of 40 cm and is divided into 20 congruent sectors. What is the area of one of the sectors? A. 20x cm C. 80m cm B. 401 cm D. 800m cm 15. Mr. Soriano wanted to plant three different colors of roses on the outer rim of a circular garden. He stretched two strings from a point external to the circle to see how the circular rim can be divided into three portions as shown in the figure below. 192 M - 20' B What is the measure of minor arc AB? A. 64" B. 104" C. 168" D. 192" 16. In the figure below, SY and EY are secants. If SY = 15 cm, TY =6 cm, and LY = 8 cm. What is the length of EY ? A. 20 cm B. 12 cm C. 11.25 cm D. 6.75 cm17. In O C below, mAB = 60 and its radius is 6 cm. What is the area of the shaded region in terms of pi ( )? A. 6 7 cm 2 C. 10 n cm 2 B. 8x cm2 D. 12 n cm 2 60 B 6 cm 18. In the circle below, what is the measure of ZSAY if DSY is a semicircle and m_SAD =70? A. 20 C. 110 S B. 70 D. 150 19. Quadrilateral SM/L is inscribed in O E. If m_SM = 78 and mZMSL =95, find m.ZMIL. A. 78 C. 95 M B. 85 D. 102 78 . E DEP S 20. In OM on the right, what is myBROil mZBMO = 60? A. 120 C. 30 B. 60 D. 15 B R
