If the region containing the pink colour makes an angle of theta2=72°at the centere what is the area of the reagion having pink colour
Answers
Answer:
154 cm^2 option (b)
Step-by-step explanation:
by the sector formula..
Given :
Lavanya hold a Japanease folding fan in her hand as shown in figure. It is shaped like a sector of a circle. The inner and outer radii are 14 cm and 21 cm. The fan has three colour material.
To Find : If the region containing the pink colour makes an angle of θ₂=72° at the center what is the area of the region having pink colour
Solution :
Sector area = (sector angle in deg/ 360°) πr²
r = radius ( inner and outer raddi are 14 cm and 21 cm)
sector angle = 72°
area of the region having pink colour = ( Outer sector - inner sector)
= (72/360)π21² - (72/360) π14²
= (1/5)π ( 21² - 14²)
= (1/5)π (21 + 14)(21 - 14)
= (1/5)π (35)(7)
= π(7)(7)
π = 22/7
= (22/7)(7)(7)
= 22 * 7
= 154 cm²
the area of the region having pink colour is 154 cm²
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