Question

1. a mandala is a geometric figure that has spiritual relevance in many religions, including hinduism and buddhism. the word mandala is sanskrit for circle.

saanvi designed three mandalas. determine the exact circumference and area for each mandala.

	circumference (ft)	area(sq. ft)
b
c

(images of mandala a, mandala b, mandala c with a scale of 2 ft)

Explanation:

Step1: Identify radius of each mandala

• Mandala A: Radius $r_A = 2\times2 = 4$ ft
• Mandala B: Radius $r_B = 3\times2 = 6$ ft
• Mandala C: Radius $r_C = 1\times2 = 2$ ft

Step2: Calculate circumference for each

Circumference formula: $C=2\pi r$

• Mandala A: $C_A=2\pi\times4=8\pi$
• Mandala B: $C_B=2\pi\times6=12\pi$
• Mandala C: $C_C=2\pi\times2=4\pi$

Step3: Calculate area for each

Area formula: $A=\pi r^2$

• Mandala A: $A_A=\pi\times4^2=16\pi$
• Mandala B: $A_B=\pi\times6^2=36\pi$
• Mandala C: $A_C=\pi\times2^2=4\pi$

Answer:

	Circumference (ft)	Area (sq. ft)
B	$12\pi$	$36\pi$
C	$4\pi$	$4\pi$