document.write( "Question 1149205: Find the radius, in cm, of the large circle if the radius of the smaller circle is 5 sqrt3 cm. The angle formed by the two radii at the center is 60 degrees. \n" ); document.write( "
Algebra.Com's Answer #770544 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The two radii, along with a chord of the large circle tangent to the small circle, form a 30-60-90 right triangle. \n" ); document.write( "The hypotenuse of the triangle is the radius of the large circle; the short leg of the triangle is the radius of the small circle. \n" ); document.write( "In a 30-60-90 right triangle, the length of the hypotenuse is twice the length of the short leg. \n" ); document.write( "Since the length of the short leg is 5*sqrt(3) cm, the radius of the large circle is 10*sqrt(3) cm. \n" ); document.write( " \n" ); document.write( " |