In a regular polygon, each interior angle measures 135°. If each side of the regular polygon measures 4.2 cm, find the perimeter of the polygon.

Q: What is the circumference of the circle if a chord 8cm long is 3cm away from the center of the…

A: Given: A chord 8 cm long is 3 cm away from the center of the circle. To Find: The circumference of…

Q: In circle D, segment AB is a diameter.

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Q: Find the measure of one exterior angle of each regular polygon nearest tenth if necessary. 13.…

A: Solution ) we know that interior angle of regular polygon  = 180(n-2)/n n = number of sides  In…

Q: The minute hand of a clock, has length 15cm. How long out an angle of 105°? How far does it travel…

A: Use the property of circle and clock

Q: If the sector formed by a central angle of 30° has an area of n/3 square centimeters, find the…

A: Given area of a sector formed by a central angle of 30° is π3 cm2. We know that area of sector…

Q: Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round…

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Q: What is the measure of each interior angle of a regular octagon (8sides)

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Q: A parallelogram has adjacent sides of length 4 cm and 6 cm. If the included angle measures 52°, find…

A: We use Trigonometry ratios  Area of parallelogram = Base X Height

Q: What is the area of a sector of a circle with a central angle of measure 120° and whose diameter is…

A: As per given question  We have to determine area of the sector

Q: If the exterior angle of a regular polygon is 22.5°, how many sides does it have? Enter answer

A: If you like the solution then please give it a thumbs up.... The Answer is:    Number of sides of…

Q: What is the sum of the measures of the exterior angles of a quadrilateral? If necessary, round to…

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Q: Calculate the number of sides of the regular polygon given each exterior angle is 14.4°.

A: As we know that the number of the side for a polygon when the exterior angle is given:- Number of…

Q: Is it possible for a regular polygon to have the following measures for each interior angle? a) 96°…

A: a) Find the possibility for a polygon to have measure of each interior angle as 96°.

Q: What is each interior angle measure in a regular polygon with 10 sides?

A: Regular polygon with 10 sides=decagon

Q: if the radius of a circle is 10 feet, how long is the arc subtended by an angle of 81degrees

A: Given : Radius r = 10 feet Angle = 810

Q: If the radius of a circle is 20 cm and the measure of the central angle is 120°, what is the arc…

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Q: In circle E, AB is parallel to CD and segment BC is a diameter.

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Q: In circle D, BC is a diameter, DA is a radius, and mAB equals sixty degrees What is m2 CAD?

A: Circle is a plane closed figure such that every point on its boundary have a constant distance from…

Q: What is the measure of each interior angle of the regular polygon pictured below? If necessary,…

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Q: Find the measures of the numbered angles in each isosceles trapezoid.

A: Given,  An isosceles trapezoid  with angles are 96° ,  ∠1, and ∠2  We have to find the measure of ∠1…

Q: The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures…

A: Given that the radius of the base of a right circular cone measures 5 in. The altitude of the cone…

Q: If the interior angle of a regular polygon is 162°, how many sides does it have? Enter answer

A: We can find the number of sides of the polygon as below

Q: How many sides does an equiangular polygon have if each interior angle measures 156 degrees?

A: Let the polygon be n-sided. Given that Each interior angle measures 156° So, ( 2n-4 ) × 90/ n =…

Q: If the area of the circle is 360 in?, what is the area of the sector if its central angle measures…

A: The area of a sector of central angle θ and radius r is given by  Area of sector=θ360×πr2Area of…

Q: If two angles of an isosceles triangle measure 35 degrees and the base of the triangle measures 18…

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Q: The exterior angle of a regular polygon is one-third of its interior angle. How many sides does the…

A: According to the question,   The exterior angle of a regular polygon is one-third of its interior…

Q: What’s the length of an arc intercepted by a central angle of 46o with a radius of 31.4cm?

A: The given angle is θ=46° and radius is r=31.4 cm.   Formula used: Arc length=2πrθ360

Q: An interior angle of a regular polygon measures 165. If each side of the regular polygon measures 10…

A: We are asked to find the area and perimeter of the regular polygon.

Q: Find the measure of one exterior angle of this regular polygon. * 36° 45° O 60° 135° O 144°

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Q: Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round…

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Q: If each interior angle of a regular polygon has measure 160, how manysides does the polygon have?

A: We have to find number of sides of the polygon if each interior angle of a regular polygon has…

Q: What is the measure of each interior angle of the regular polygon pictured below? If necessary,…

A: Solve the following

Q: A regular polygon has 24 sides. Work out the size of each exterior angle.

A: Each exterior angle = 360/24 = 15 degrees.

Q: In a circle whose radius has length 9m, the length of an arc is 5π m. what is the degree measure of…

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Q: What is the radius of a sector of a circle with a central angle of measure 45° and whose area is…

A: Given : Measure of central angle is 45° Area of sector is 98π cm2

Q: Find the area of a se tor of a circle with the radius 6 cm.if the angle of the section is 60o

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Q: The area of a sector of a circle with a central angle of 60° is given by 60T. What is the area of…

A: Explanation of the answer is as follows

Q: If the central angle of a circle measures 80°, and the arc length is 10cm, what is the length of the…

A: Note that : Let circumference of circle be 2πr where r is radius of circle.

Q: Each interior angle of a regular polygon has measure 150. How manysides does the polygon have?

A: Given:Each interior angle of a regular polygon=150°

Q: 2 A side view of a recycling bin lid is diagramed below where two panels come together at a right…

A: if we are given a right angle triangle,and other two sides of triangle,then we can find the thired…

Q: State the formula for the area of a triangle given two sides and theincluded angle.

A: Our Aim is to state the formula for the area of a triangle given two sidesand included angle.

Q: In circle Q, find measure of angle MJ

A: Given that LM⏜=120°The circumscribed angle ∠LMJ=49°So, LJ⏜=2(49°)=98°So…

Q: Construct a triangle with a side length 15cm,a side length 5cm ,and an angle of 44 degrees

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Q: If each interior angle of a regular polygon measures 165°, how many sides does the polygon have? The…

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Q: what is the radius of a circle that has a sector area of 3π cm2 and a central angle of 120°?

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Q: What is the measure of each angle of a regular heptagon? If necessary, round to the nearest tenth.

A: We have to find angle

Q: What is the sum of an interior angle measures of a regular 13-gon?

A: The answer is found in step-2.

Q: A circle is inscribed in a square. If the perimeter of the square is 32 cm, find the circumference…

A: Answer is given below

Q: Find the measures of an interior angle and an exterior angle of a regular hexagon.

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