Answer:
Area of the given fan is 763.4 cm²
Step-by-step explanation:
Area of a sector in a circle =
Here, angle θ = Central angle subtended by the arc
r = Radius of the circle
Since, fan is in the form of a sector of a circle with radius = 27 cm
Measure of the central angle subtended by the arc FN = ∠FAN = 120°
Area of the fan =
=
= 243π
= 763.407
≈ 763.4 cm²
Therefore, area of the given fan is 763.4 cm²
The product of 8 and 5/7 is 5.7
<u>Step-by-step explanation:</u>
The given product is .
<u>In the product, two terms are given :</u>
1) So, to find the product of the first term and the second term, one method is to simplify the fraction into decimal number and then perform multiplication operation.
2) Either you can multiply the two terms in the first step and then the division operation is performed at the final step.
<u>First method :</u>
<u><em>Step 1 :</em></u> Convert the fraction into decimal
⇒ 5/7 = 0.71
<u><em>Step 2 :</em></u> Multiply the result with the other term.
⇒ 8 × 0.71
⇒ 5.68 (approximately 5.7)
<u>Second method :</u>
<u><em>Step 1 :</em></u> Multiply both the terms
⇒ 8 ×(5/7) = 40/7
<u><em>Step 2 :</em></u> divide 40 by 7
⇒ 40÷ 7 = 5.7
Therefore, the product of 8 and 5/7 is 5.7
