Question

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 for each mandala.

	a	b	c
area (sq. ft)

(mandala a, mandala b, mandala c are shown in the grid above)

Explanation:

Step1: Find radius of each mandala

From grid, Mandala A: diameter = 6 ft, so $r_A = \frac{6}{2} = 3$ ft
Mandala B: diameter = 10 ft, so $r_B = \frac{10}{2} = 5$ ft
Mandala C: diameter = 3 ft, so $r_C = \frac{3}{2} = 1.5$ ft

Step2: Calculate circumference for each

Circumference formula: $C = 2\pi r$

• Mandala A: $C_A = 2\pi(3) = 6\pi$
• Mandala B: $C_B = 2\pi(5) = 10\pi$
• Mandala C: $C_C = 2\pi(1.5) = 3\pi$

Step3: Calculate area for each

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

• Mandala A: $A_A = \pi(3)^2 = 9\pi$
• Mandala B: $A_B = \pi(5)^2 = 25\pi$
• Mandala C: $A_C = \pi(1.5)^2 = 2.25\pi$

Answer:

	Circumference (ft)	Area (sq. ft)
B	$10\pi$	$25\pi$
C	$3\pi$	$2.25\pi$