Determine the approximate minor arc length of CD.

Step-by-step explanation:

CB is the Hypotenuse of the right-angled triangle CDB.

Pythagoras :

CB² = 20² + 21² = 400 + 441 = 841

CB = sqrt(841) = 29

=> radius = 29/2 = 14.5

the total circumference of the circle (360 degrees) is

2×pi×r = 29×pi

but here we need only the part of the circumference for 180-70= 110 degrees.

CD arc = 29×pi × 110 / 360 = 29×pi×11/36 =

= 27.83800157 ≈ 27.84 cm

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .