Area of a sector is equals to 30.7 cm² (nearest tenth).
What is sector of a circle?
" Sector of a circle represents that portion of the circle which is enclosed by two radii and included arc of the circle."
Formula used
Area of a sector of the circle = (θ /360°) πr²
According to the question,
Diameter of a circle = 9.1cm
Therefore, radius (r) of a circle = 9.1 /2
= 4.55cm
Included central angle in the sector of the circle= 170°
value of π = 3.14
Substitute the value in the formula we get,
Area of a sector = (170° / 360°) (3.14) (4.55)²
= (17/36) × (65.00585)
= 30.697
= 30.7 (nearest tenth)
Hence, area of a sector is equals to 30.7 cm² (nearest tenth).
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