Here is a semi circle of radius x the perimeter of the shape is the shape of 25.71cm calculate the value of the radius x

5 cm

Step-by-step explanation:

Perimeter of a semicircle is :

P = πr + 2r

P = r(π + 2)

25.71 = r(3.14 + 2)

25.71 = r(5.14)

Divide both sides by 5.14

25.71 / 5.14 = r(5.14) / 5.14

5.0019455 = r

Hence, radius of semicircle = 5 cm

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you