Line ET is tangent to circle A at T, and the measure of Arc TG is 50°. What is the measure of angle G E T? A) 130 B) 90 This one is not right C)65 D) 50 Which of the following is the equation of a circle with a radius of 2.5 and its center at (4, -3)? A) ( x - 4 ) ^ 2 +( Y + 3 )^ 2 = 2.5 B) ( x + 4 )^ 2 + ( Y - 3 ) ^ 2 = 2.5 C) ( x - 4 ) ^ 2 + ( Y + 3) ^ 2 =6.25 D) ( x -4 ) ^ 2 + ( Y - 3 ) ^ 2 = 6.25
the picture of the question N 1) in the attached figure
Part 1) we know that The measure of the external angle is the semi difference of the arcs that it covers so ∠GET=(1/2)*[arc TN-arc TG]---> 0.5*[180-50]----> ∠GET=65°
the answer part 1) is the option C)65
Part 2)Which of the following is the equation of a circle with a radius of 2.5 and its center at (4, -3)?
we know that the equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center and r is the radius (h,k)-----> (4,-3) r=2.5 so (x-h)²+(y-k)²=r²-----> (x-4)²+(y+3)²=2.5²-----> (x-4)²+(y+3)²=6.25
the answer part 2) is the option C) ( x - 4 ) ^ 2 + ( Y + 3) ^ 2 =6.25
