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Understanding the Area of a Circle's Sector: Mathematics Skills for Students

This lesson focuses on helping students learn how to calculate the area of a circular sector, including determining the radius and the angle subtended at the center. Students will review prior knowledge on converting measurements between radians and degrees, measuring arc lengths, and finding the perimeter of circular segments. By the end of the lesson, students will be able to accurately calculate the sector area and complete a quiz with at least 60% accuracy on provided worksheet questions.

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Understanding the Area of a Circle's Sector: Mathematics Skills for Students

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  1. EteMS KHOO SIEW YUEN SMK.HI-TECH 2005

  2. Topic : Circuler Meassure Area of Sector

  3. Mathematic Skills 1. Determine - area of sector radius - the radius - the angle subtended center of a circle 2. Find the area of segment of circle Prior Knowledge • The students already learnt • how to convert measurement in radians to degrees and vice versa. • how to determine the length of arc, radius and angle subtended at the • centre of a circle. • - how to find the perimeter of the segment of circle.

  4. Learning Outcomes: • At the end of this lesson, students will be able to: • find the area of sector radius, the radius and the angle subtended center of a • circle. • - answer the quiz 100% correctly. • - answer at least 3 out of 5 questions given in the worksheet correctly. CONNECT TO LESSON PLAN

  5. Area of Sector Area Quiz Radius Angle Worksheets

  6. What is Area Sector of circle??? Like that???

  7. And this is a circle with sector AOB. The area shaded blue color names as Area AOB. This is a circle with center O. O

  8. A A r cm O A=Area Shaded r = radius B

  9. Diagram below shows a circle with 4cm radius and angle 270 o, • find the shaded area. Given r=4cm, angle = 270 o r=4 cm O 270o

  10. 2. Find the angle of the sector AOB in radiant. = 270o x

  11. = 270o x Given r = r cm Perimeter = 90cm Arc AB + OA + AB = 90cm 50 + r + r = 90cm 2r = 40 r = 40 • 3. Diagram above shows a sector AOB • with center O made from wire length • 90cm, the length of arc OAB is 50cm, • find : - • the angle in radiant • The area of sector AOB

  12. 4. A circle sector with area 25.2cm2 and the angle at the centre is 1.4rad. Find the radius of the circle.

  13. 5. Find the area of minor sector AOB. = 270o x

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