Rangoli is a traditional Indian sand-painted
design along with their diya and candle often it seen
during Diwali festival. Rangoli can be made is a wide
variety of design, sizes and materials. One of the
design is shown below. In the given figure, AB = 42 cm
and M is the mid – point of AB. Three semi- circles are
drawn on AB, AM and MB as diameters. A circles with
centre C touches all the three circles.
(a) Find the area of the big semicircle.
(i) 663 cm2
(ii) 693 cm2 (iii) 143 cm2
(iv) 1394cm2
(b) Find the circumference of semicircle whose diameter is AM.
(i) 16.5 cm (ii) 18 cm (iii) 25.5 cm (iv) 63.5 cm
(c) Calculate the area of small semicircle .
(i) 193.25cm2 (ii) 177.125 cm2
(iii) 173.125 cm2
(iv) 346.25 cm2
(D) An arc, which makes an angle greater than 180 degree, is called
(i) minor arc (ii) major arc
(iii) minor arc or major arc (iv) None of the above
(e) If radius of any circle is r, then length of an arc of angle is given by
(i)
360
× (ii)
360
×
2
(iii)
360
× 2 (iv) none of these.
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(b) Find the circumference of semicircle whose diameter is AM.
(i) 16.5 cm (ii) 18 cm (iii) 25.5 cm (iv) 63.5 cm
(c) Calculate the area of small semicircle .
(i) 193.25cm2 (ii) 177.125 cm2
(iii) 173.125 cm2
(iv) 346.25 cm2
(D) An arc, which makes an angle greater than 180 degree, is called
(i) minor arc (ii) major arc
(iii) minor arc or major arc (iv) None of the above
(e) If radius of any circle is r, then length of an arc of angle is given by
(i)
360
× (ii)
360
×
2
(iii)
360
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