Find the area of the shaded sector. Leave answer in terms of pie
2 answers:
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See the attached figure.
m ∠KAJ = 170° & m ∠LAM = 80°
We should know that :
m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°
∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)
∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°
But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>
∴ m ∠MAJ + m ∠MAJ = 110°
∴ 2 * m ∠MAJ = 110°
∴ m ∠MAJ = 110° ÷ 2 = 55°
<u>So, the answer is : m ∠MAJ = 55°</u>
Answer: " 874.33 ° " .
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Step-by-step explanation:
15.26 rad * ( 180 degree / rad ) ;
= [ (15.26 * 180) / ] degrees ;
= [ ( 2746.8 ) / ] degrees.
= [ ( 2746.8) / 3.14) ] degrees ;
= 874.3336 degrees;
→ round to: " 874.33 degrees ."
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