Answers GCS 2023-2024 Math 3 Credit RecoveryArea of a Circle and a Sector

Area of a Circle and a Sector — Unit test Answers

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What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

(−9,6)

(−6,9)

(6,−9)

(9,−6)

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Given: Circle O; intercepts ; D intercepts Prove:

inscribed angles theorem

third corollary to the inscribed angles theorem

central angle of a triangle has the same measure as its intercepted arc.

formed by a tangent and a chord is half the measure of the intercepted arc.

Circle O has a circumference of approximately 28.3 cm.

4.5 cm

9.0 cm

14.2 cm

28.3 cm

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

x2 + y2 + 4x + 6y – 51 = 0

x² + y² – 4x – 6y – 51 = 0

x2 + y2 + 4x + 6y – 3 = 0

x2 + y2 – 4x – 6y – 3 = 0

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2.Which circle could represent the base of the vase? Use 3.14 for .

Circle C is shown. Line segment A C is a radius with length 6 centimeters.

Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Circle C is shown. Line segment A C is a radius with length 8 centimeters.

Circle C is shown. Line segment A C is a radius with length 9 centimeters.

Two circles are concentric if they have the same center.

(x – 4)2 + (y – 6)2 = 4

(x – 4)2 + (y – 6)2 = 16

(x – 6)2 + (y – 4)2 = 16

(x – 6)2 + (y – 4)2 = 4

Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees.

140°

150°

160°

170°

Line EF is tangent to circle G at point A.

90°

95°

190°

195°

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Area of a Circle and a Sector — Unit test Answers

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