[amp_mcq option1=”105″ option2=”120″ option3=”135″ option4=”150″ correct=”option2″]<\/p>\n
The correct answer is B. 120 degrees.<\/p>\n
The central angle of a sector is the angle formed by the two radii that intersect at the arc of the sector. The ratio of the central angle $\\theta$ to $360^\\circ$ is equal to the ratio of the arc length $s$ to the circle’s circumference $c$. In this case, the arc length is the amount of income tax paid, and the circle’s circumference is the total income.<\/p>\n
The average income tax rate in the United States is 22%. If we assume that the average income is $50,000, then the amount of income tax paid is $11,000. The circumference of a circle with radius 50 is $2\\pi r = 2\\pi (50) = 314.159$. Therefore, the central angle of the sector representing income tax is $\\theta = \\frac{s}{c} \\times 360^\\circ = \\frac{11,000}{314.159} \\times 360^\\circ \\approx 120^\\circ$.<\/p>\n
Option A is incorrect because it is the central angle of a sector representing 10% of the total income. Option C is incorrect because it is the central angle of a sector representing 15% of the total income. Option D is incorrect because it is the central angle of a sector representing 20% of the total income.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”105″ option2=”120″ option3=”135″ option4=”150″ correct=”option2″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[954],"tags":[],"class_list":["post-52969","post","type-post","status-publish","format-standard","hentry","category-teaching-and-research","no-featured-image-padding"],"yoast_head":"\n