A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.
Using 3.14 for
inches
what is the length of the radius of the circle?

The length of the radius of the circle is 75 inches

Step-by-step explanation:

∵ A circle has a central angle measuring 90°

∵ The measure of the circle is 360°

- Divide the measure of the arc by the measure of the circle

  to find that arc is represents what fraction of the circle

∵ 90 ÷ 360 =

∴ The arc represents   of the circle

∵ The length of the circle = 2πr

∵ The arc represents   of the circle

∴ The length of the arc = × 2πr

∴ The length of the arc = πr

∵ The length of the arc is 117.75 inches

- Equate the expression of the length of the arc by 117.75

∴ πr = 117.75

∵ π = 3.14

∴   (3.14) r = 117.75

∴ 1.57 r = 117.75

- Divide both sides by 1.57

∴ r = 75

∴ The length of the radius of the circle is 75 inches

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.