BE and CD are both diameters of the circle with center A. If the area of the circle is 180 units $^{2}$ , what is the total area of the shaded regions?

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Solution

The central angles of the sectors will be same i.e. $40^{o}$ each.
Hence, the two central angles of the shaded sectors include a total of $80^{o}$ .
Area of sector $= \frac{θ}{360} \times π r^{2}$ $= \frac{80}{360} \times 180 = 40$ units $^{2}$ .

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BE and CD are both diameters of the circle with center A. If the area of the circle is 180 units2, what is the total area of the shaded regions?

The central angles of the sectors will be same i.e. 40o each.Hence, the two central angles of the shaded sectors include a total of 80o. Area of sector =θ360×πr2=80360×180=40 units2.

BE and CD are both diameters of the circle with center A. If the area of the circle is 180 units $^{2}$ , what is the total area of the shaded regions?

The central angles of the sectors will be same i.e. $40^{o}$ each.
Hence, the two central angles of the shaded sectors include a total of $80^{o}$ .
Area of sector $= \frac{θ}{360} \times π r^{2}$ $= \frac{80}{360} \times 180 = 40$ units $^{2}$ .