Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 450% 150% 350% 250% 450% 150% 350% 250% ANSWER DOWNLOAD EXAMIANS APP
Area Problems In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is? 19.8 cm 13.2 cm 21.6 cm 26.4 cm 19.8 cm 13.2 cm 21.6 cm 26.4 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Arc length = 2?r (?° / 360°) = 2 x (22/7) x 21 x (72° / 360°) cm= 26.4 cm
Area Problems The area of a circular field is 13.86 hectares . The cost of fencing it at the rate of 20 paisa per meter is? Rs. 198 Rs. 264 Rs. 324 Rs. 277.20 Rs. 198 Rs. 264 Rs. 324 Rs. 277.20 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 22/7 x r2 = 13.86 x 10000? r2 = (13.86 x 10000 x 7) / 22? r = 210 m ? Circumference = [2 x (22/7) x 210 ] m = 1320 m Cost of fencing = Rs. (1320 x 20)/100= Rs . 264
Area Problems The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is? 168 cms 42 ? 3 cms 126 cms 72.6 cms 168 cms 42 ? 3 cms 126 cms 72.6 cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 22/7 x r2 = 462? r2 = (462 x 7) /22 = 147? r = 7?3 cm ? Height of the triangle = 3r = 21?3 cmNow, ? a2 = a2/4 + (3r)2? 3a2/4 = (21?3)2? a2 = (1323 x 4)/3? a = 21x 2 = 42 cm? Perimeter = 3a = 3 x 42=126 cm
Area Problems The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre. Rs.16500 Rs.18500 Rs.17500 Rs.15500 Rs.16500 Rs.18500 Rs.17500 Rs.15500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 5.5 × 3.75 sq. metre. Cost for 1 sq. metre. = Rs. 800 Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
Area Problems Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is? 3.5 meters 7.7 meters 5.4 meters 6.77 meters 3.5 meters 7.7 meters 5.4 meters 6.77 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of four walls = 2 x (l + b ) x h? 2 x (7.5 + 3.5 ) x h = 77 m2? h = 77 / (2 x 11) = 7/2? h = 3.5 meters
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