Geometry (Problems 2.)

Question 1

Find the x value in the triangle below.

Answer 1

x = 13

Question 2

Find the x value in the triangle below.

Answer 2

x = √48

Question 3

Find the length of the unknown sides in the triangle shown below

Answer 3

5√2

Question 4

Solve for the missing sides of the triangle.

Answer 4

Hypotenuse = 12√3

Side B (opposite 30° angle) = 6√3

Question 5

What is the Sin, Cos, and tan of angle “G.”

Answer 5

Sin (G) = 15/17

Cos (G) = 8/17

Tan (G) = 15/8

Question 6

Find the missing sides of the triangle

Round your answer to the nearest hundredth.

Answer 6

x = 8.62

y = 2.66

Question 7

Find the missing angle of the triangle

Round your answer to the nearest hundredth.

Answer 7

33.69º

Question 8

Find the missing angle “B”.

Answer 8

angle “B” = 49.59°

Question 9

Find the missing side “AB”

Answer 9

side “AB” = 7.71

Question 10

Find the missing angles

Answer 10

angle “A” = 25.21°

angle “B” = 58.41°

angle “C” = 96.38°

Question 11

Find the missing side “BC”.

Answer 11

side “BC” = 14.62

Question 12

In the figure below, line (AD) and line (CE) are diameters of circle P.

What is the measure of Arc (AEB) in degrees?

Answer 12

305°

Question 13

In the figure below, line (BC) is a diameter of circle P. The length of line (BP) is 3 Units.

What is the length of curve (ACD)?

Answer 13

(65/12)π

or

17.02

Question 14

In the figure below, the radius of circle P is 18 units. The length of Arc (BA) is 14π.

What is the measure of Arc (BC) in degrees?

Answer 14

64°

Question 15

Convert the angle Ø = (23π/20) radians to degrees.

Answer 15

207°

Question 16

Convert the angle Ø = 260° to radians.

Answer 16

13π/9 Radians

Question 17

What is the exact length of Curve (DAC) on Circle P?

Answer 17

5π

Question 18

What is the arc measure of Curve (CD), in radians?

Answer 18

π/5

Question 19

What is the area of the Sector?

Answer 19

45π/4

Question 20

If angle “ABC” measures 70º, what does angle “ADC” measure?

Answer 20

angle “ADC” = 35°

Question 21

What is the Radius of circle “O”

Answer 21

Radius = 6.5 Units

Question 22

What is the measure of Angle “ACO” ?

Answer 22

Angle “ACO” = 90°

Question 23

What is the measure of Angle “A” ?

Answer 23

Angle “A” = 88°

Question 24

What is the perimeter of Quadrilateral “ABCD” ?

Answer 24

Quadrilateral “ABCD” = 44.4 Units

Question 25

The equation of a Circle is given below

What is the Center and Radius?

Answer 25

Center = (-1.6 , -9.8)

Radius = 5.10 Units

Question 26

A Circle has a radius of √13 and is centered at (-9.3, 4.1)

write the equation of the circle.

Answer 26

Question 27

The equation of a Circle is given below

What is the Center and Radius?

Answer 27

Center = (9 , -10)

Radius = 2 Units