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Sholpan [36]
2 years ago
11

The area of the shaded sector is shown. Find the area of $\odot M$ . Round your answer to the nearest hundredth. A circle with c

enter at point M. Two points K and J are marked on the circle such that the measure of angle corresponding to minor arc K J at the center is 50 degrees. Point L is marked on major arc K J. Area of major sector A is equal to 56.87 square centimeters.
Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0
Mhmmmmmmmmmmm i agreeeeeee
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Answer:

(i) The name of the part of the circle, OQ is a radius

(ii) The radius of the sector QOR is 21 cm

Step-by-step explanation:

The given figure is a sector of the circle O

∵ Any sector of a circle formed from 2 radii and an arc

∴ OQ is a radius

(i) The name of the part of the circle, OQ is a radius

The rule of the length of an arc of a circle is L = \frac{\alpha }{360} × 2 π r, where

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∵ The length of the arc QR is 22 cm

∴ L = 22

∵ The measure of the angle of the arc is 60°

∴ α = 60°

∵ π = \frac{22}{7}

→ Substitute them in the rule above

∵ 22 = \frac{60}{360} × 2 × \frac{22}{7} × r

∴ 22 = \frac{22}{21} r

→ Divide both sides by  \frac{22}{21}

∴ 21 = r

(ii) The radius of the sector QOR is 21 cm

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