Respuesta :
A 15 square metres sector will have a radius of 8.1 m and a central angle of 26.04 degrees.
What is sector?
The region of a disk encompassed by two radii and an arc is called a circular sector, also known as a circle sector or disk sector. The smaller area is referred to as the minor sector, and the larger area as the major sector. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.
Here,
area of sector=θ/360°*πr²
θ=5/11*180/π
θ=26.04 degree
area=15 m²
15=26.04/360*3.14*r²
15=0.227r²
r²=66.08 m²
r=8.13 m
The radius of the sector whose area is 15 m² will be 8.1 m with the central angle of 26.04 degree.
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