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Mathematics Grade 10 Unit 5: Circles
national exam questions have come from this unit. It runs 42 pages; one careful study pass takes about 2.4 hours, and its difficulty is easier among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.
5.1 Symmetrical properties of circles · read p. 252
Not asked in a national paper yet.
5.2 Angle properties of circles · read p. 258
- 2016 E.C., Q5 – A sector of a circle of diameter 8cm is formed by a central angle of 45°. What is the area of the sector?
5.3 Arc length, perimeters and areas of segments and sectors Arc length · read p. 268
Not asked in a national paper yet.
5.4 Theorems on angles and arcs determined by lines intersecting inside, on and outside a circle · read p. 275
- 2018 E.C., Q20 – Which of the following statements defines a circle?
- 2018 E.C., Q17 – In the figure below, let m ( )=15° and m(arc BC)=70°. What is the measure of arc CD? [Figure: A circle with center O is shown. Point A lies outside the circle to the right. A secant line passes through point A, intersect
- 2016 E.C., Q49 – In the following figure, O is the center of the circle and the line segments and are intersecting the AB AC m(∠ACD) = 30∘ m(∠BEC) = 50∘ circle at D and E respectively. If and , then which one of the following is m(∠BAC)
- 2014 E.C., Q17 – The base of a right prism is a rectangle with sides 3 cm and 4 cm and the altitude of the prism is 5 cm. What is the total surface area of the prism?
- 2014 E.C., Q30 – Suppose that the lines $\overline{AB}$ and \overline{BC} intersect at B outside the circle as shown in the figure below. If m(∠ABC) = 30° and m(∠BCD) = 45°, then what is $m(\overset{\triangle}{AC})$
- 2014 E.C., Q36 – A line segment chord in an ellipse which passes through the center and perpendicular to the major axis is called: