document.write( "Question 1199419: In the diagram, line BC = 5 cm, and curved line DE is tangent to line AC. Find the area, in cm2, of the quarter circle BDE with centre B.\r
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Algebra.Com's Answer #833312 by MathTherapy(10552)\"\" \"About 
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document.write( "In the diagram, line BC = 5 cm, and curved line curve DE is tangent to line AC. Find the area, in cm2, of the quarter circle BDE with centre B.\r\n" );
document.write( "https://ibb.co/6bcN9jh\r\n" );
document.write( "A) 160\r\n" );
document.write( "B) 215\r\n" );
document.write( "C) 245\r\n" );
document.write( "D) 260\r\n" );
document.write( "E) 280\r\n" );
document.write( ".\r\n" );
document.write( "Draw BF, a radius of quarter-circle BDE, to AC at the point where the tangent touches the quarter-circle. Notice that the tangent\r\n" );
document.write( "line AC, and the radius BF form a right angle (A right angle is formed at the point of tangency of a circle, with its radius)\r\n" );
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document.write( "With BF being r, we now see a right triangle, BFC, with ∡BFC being 90o.\r\n" );
document.write( "Additionally, ∡BCF = 60o, which then creates a 30-60-90 SPECIAL ▲, in BFC.\r\n" );
document.write( "With special right ▲BFC having hypotenuse BC measuring 5 cm, ∡BCF measuring 60o, its longer leg BF, a radius of quarter-circle BDE, \r\n" );
document.write( "would be \r\n" );
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document.write( "We then get: area of quarter-circle \r\n" );
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document.write( "NONE of the answer choices are even close to that!\r\n" );
document.write( "It would NOT behoove me to speculate why!
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