Number seven with process
Answers
Answer:
(C) 269.5 cm^2
(B) 546 cm^2
(a) 94.5 cm^2
Step-by-step explanation:
(a) We can see there are 4 sectors with 90 degree angle (quadrants) formed.
we know area of sector = (theta/360) * Pie * Radius^2
area of four quadrants = (4*90/360)* 22/7*(21/2)^2
=(22/7) * (441/4)
area of shaded region = area of square with side 21 cm - area of 4 quadrants
side^2 - (22/7) * (441/4)
441 - (22/7) * (441/4) {now we take 441 common}
441{1-(22/28)}
441 {6/28}
Answer is 94.5 cm^2
(b) area of shaded region = area of rectangle - area of semicircle
(14*50)- (22/7) (7) (7)
(14*50)-154
700-154
546 cm^2
(c) area of shaded region= area of bigger quadrant - area of small quad.
= (90/360)*(22/7)*28*28 - (90/360)*(22/7)*21*21
22/28(784-441)
22/28(343)
269.5 cm^2
please cross check the calculations as I am not good at calculations
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