Question

An artist is creating a stained glass design. She uses a lead border around each piece. The radius of the circle is 2 ¼ in. Use pi π = 22/7

a. The diameter of the circle measures ______ inches.

b . The diameter of the circle is the same length as one ____________ of the square.

c. Find the perimeter of the square.
P = 4 x _____= ________________


d. Find the perimeter of the circle.
C ≃ 22 x _____ ≃ ________
7

e. Find the area of the circle.

Answer 1

The correct answer is -

a. 4.5 inches.

b. side or arm (a)

c. (a) or 4.5, and 18

d. (d) 4.5, and 14.1428

e. 22/7 × r^2 = 15.90

Explanation:

Given :

Radius or r = 2 ¼ inches

Solution:

a. the diameter of the circle -

d = 2r

= 2 ¼ *2

= 2.25*2

= 4.5

b. The diameter of the circle is the same length as one side or arm of the square which is

a = d = 4.5

c. The perimeter of the square

P = 4a = 4d = 4*4.5 = 18

d. Perimeter of the circle =

2πr = πd = (22/7)*4.5

= 14.1428

e. the area of the circle =

22/7 × r^2

= 15.90