By OnlineEdumath   |  28th April, 2025
Notice; Single interior angle of a regular polygon with 6 sides (regular hexagon) is 120°. The formula to get it is; (180°(n-2))/n. Where n is the side number of the regular polygon....
By OnlineEdumath   |  27th April, 2025
Let the radius of the bigger circle be 2 unit. Therefore the radius of the smaller circle will be; ½(2)=1 unit. Let the radius of the semi circle be r. It implies; 2² + r² = (1 + r)²...
By OnlineEdumath   |  26th April, 2025
Blue area will be; Area square of single side length 4cm - 5(area circle of radius 1cm) + area square of single side 2cm. = 16 - 5π + 4 = 20 - 5π = 5(4 - π) cm²
By OnlineEdumath   |  25th April, 2025
Let x be a side length of the largest possible inscribed square of the scalene triangle with sides 13 cm, 14 cm and 15 cm respectively. It implies; x = 14÷((1/tan(53.13))+1+(1/tan(67.38)))...
By OnlineEdumath   |  24th April, 2025
Calculating x (radius of the small inscribed circle) 28² + x² = (56-x)² 784 + x² = 3136 - 112x + x² 112x = 2351 x = 21 units.
By OnlineEdumath   |  23rd April, 2025
Calculating r, radius of the four congruent circles. Area square with side 2r cm - Area circle with radius r cm = Area green. (2r)² - πr² = 144π 4r² - πr² = 144π (4-π)r² = 144π r² =...
By OnlineEdumath   |  22nd April, 2025
Area Area Blue is; Area semi circle with radius √(2) units - Area quarter circle with radius 2 units + Area triangle with height and base 2 units respectively. = ½(√(2)²)π - ¼(2²)π + ½(2²)...
By OnlineEdumath   |  21st April, 2025
Area Blue is; Area triangle with height 4 cm and base (4sin150) cm = ½*4*(4sin150) = 2(4sin150) = 8sin150 = ½(8) = 4 cm²
By OnlineEdumath   |  20th April, 2025
Shaded Area is; Area circle with diameter 30 cm - 7(area circle with diameter 10 cm) = π(½(30))² - 7π(½(10))² = π(15)² - 7π(5)² = 225π - 175π = 50π cm²
By OnlineEdumath   |  19th April, 2025
Sir Mike Ambrose is the author of the question. Let CD = 2 units. Therefore; Calculating AB. AB = 1 + (2sin18*tan72 + 2sin36)tan54 AB = 1 + 3.07768353717tan54 AB = 1 + 4.23606797749...
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