A sector of 56° cut out from a circle contains area 4.4 cm². Find the radius of the circle.
Answers
Answer:
The radius of the circle is 3 cm
Step-by-step explanation:
Given :
Area of the sector of a circle, A = 4.4 cm²
Angle of a Sector = 56°
Area of the sector of a circle, A = (θ/360) × πr²
4.4 = (56°/360°) × π ×r²
4.4 = (7πr²)/45
r² = (45 × 4.4 × 7) / (7 × 22)
r² = 45 × 0.2
r² = 9
r = √9
r = 3 cm
Radius of the circle = 3 cm
Hence, the radius of the circle is 3 cm .
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