The name of a circle is the center. So P is the name of the circle and Point P is the actual center. We have, "circle P",

see explanation

Step-by-step explanation:

(1)

The arc length is equal to the central angle, thus

arc AB = 81°

(2)

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius and r = 9 )

   = 2π × 9 = 18π ≈ 56.5 cm ( to 1 dec. place )

(3)

Since BC is the diameter then  arc CB = 180°, thus

The complete circle = 360°, thus

arc BD = 360° - (180 + 65 )° = 360° - 245° = 115°

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi