Adding fractions with unlike denominators
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Given the dartboard of diameter , divided into 20 congruent sectors,
- The central angle is
- The fraction of a circle taken up by one sector is
- The area of one sector is
to the nearest tenth
The area of a circle is given by the formula
A sector of a circle is a fraction of a circle. The fraction is given by . Where
is the angle subtended by the sector at the center of the circle.
The formula for computing the area of a sector, given the angle at the center is
We given a circle (the dartboard) with diameter of , divided into 20 equal(or, congruent) sectors
To find the central angle, divide by the number of sectors. Let
denote the central angle, then
The fraction of the circle that one sector takes up is found by dividing the angle a sector takes up by . The angle has already been computed in Part I (the central angle,
). The fraction is
The area of one sector can be gotten by multiplying the fraction gotten from Part II, with the area formula. That is
Learn more about sectors of a circle brainly.com/question/3432053