Question

In the diagram below, what is the approximate length of the minor Arc de? "if you can, explain please"

Answer 1

D) 23.6 cm

Explanation:

We first find the circumference of the circle. Circumference is given by the formula

C = 2πr, where π = 3.14 and r is the radius. The radius of our circle is 15 cm; this gives us

C = 2(3.14)(15) = 94.2.

Next we find the portion of the circumference associated with the given arc. The measure (in degrees) of the arc is 90°; this makes it 90/360 of the circle. 90/360 simplifies to 1/4; this means this arc is 1/4 of the circumference:

1/4(94.2) = 23.55

This rounds to 23.6.

Answer 2

Circumference of a circle = 2 x pi x radius.

To find DE = 2 x pi x 15 = 94.25 cm. Then you divide 94.25 by 4 = 23.56 which round to one decimal point is 23.6 cm