Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 350% 450% 250% 150% 350% 450% 250% 150% ANSWER DOWNLOAD EXAMIANS APP
Area Problems The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is? 32.72 km/hr. 29.46 km/hr. 31.68 km/hr. 36.25 km/hr. 32.72 km/hr. 29.46 km/hr. 31.68 km/hr. 36.25 km/hr. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference = 2?r = 2 x (22 / 7) x 70 cm = 440 cm Distance travelled in 10 revolutions = 440 x 10 cm = 4400 cm = 44 m? Speed = distance / time= 44 / 5 m/sec= (44 / 5) x (18 / 5) km/hr = 31.68 km/hr
Area Problems A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is? 16 m 15 m 20 m 17 m 16 m 15 m 20 m 17 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = a metres and breadth = b metres Then, 2(a+b)= 46 ? (a+b) =23 and ab =120 ? Diagonal = ?a2 + b2?(23)2-2 x 120?289 = 17 m
Area Problems The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by 10.25% 11.25% 10.5 % 12.5% 10.25% 11.25% 10.5 % 12.5% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Increase in circumference of circle = 5%? Increase in radius is also 5%.Now, increase in area of circle = 2a + (a2/100) %Where, a = increase in radius= 2 x 5 + (5 x 5)/100 % = 10.25%
Area Problems The perimeter of an equilateral triangle is 90 cm. Find its area. 250?3 sq cm 225?3 sq cm 151?3 sq cm 135?3 sq cm 250?3 sq cm 225?3 sq cm 151?3 sq cm 135?3 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, perimeter = 90 cm? 3a = 90 cm [a = side]? a = 90/3 = 30 cm? Area = ?3a2 / 4 = ?3/4 x (30)2= 900 x ?3/4 = 225?3 sq cm
Area Problems What is the area of a square having perimeter 68 cm? 269 sq cm 289 sq cm 284 sq cm 361 sq cm 269 sq cm 289 sq cm 284 sq cm 361 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,4a = 68 [ where a = side]?a = 68/4 = 17 cm? Required area = a2= (17)2 = 289 sq cm
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