The perimeter of a sector of a circle
Webb27 mars 2024 · Solution: We know that the area A of a sector of a circle is given by. A = θ/360 x πr2. Here, r = 28 cm and θ= 450. A = 45/360 x 22/7 x 28 x 28. A = 308 cm2. Example 2: The perimeter of a sector of a circle of radius is 5.2cm is … WebbThe perimeter of a sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector. Login Study Materials NCERT Solutions NCERT Solutions For Class 12 NCERT Solutions For Class 12 Physics NCERT Solutions For Class 12 Chemistry NCERT Solutions For Class 12 Biology NCERT Solutions For Class 12 Maths NCERT Solutions Class 12 Accountancy
The perimeter of a sector of a circle
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Webb3 mars 2024 · Given : The perimeter of a sector of a circle of radius 14 cm is 68 cm. To Find : The area of the sector ? Solution : Perimeter of a sector = Twice of radius + length of arc. i.e. The length of arc is 40 cm. The formula of length of arc is. The area of the sector is. Therefore, the area of the sector is 280 cm². #Learn more WebbThe perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. Find the area of the sector. Advertisement Remove all ads Solution Let OAB be the given sector. Then, Perimeter of sector OAB = 16.4 cm ⇒ OA + OB + arc AB = 16.4 cm ⇒ 5.2 + 5.2 + arc AB = 16.4 ⇒ arc AB = 6 cm ⇒ / = 6 cm ∴ Area of sector OAB = 1 2 = 1 2 × 6 × 5.2 c m 2 = 15.6 c …
WebbLet OAB be the given sector. Then, Perimeter of sector OAB = 16.4 cm. ⇒ OA + OB + arc AB = 16.4 cm. ⇒ 5.2 + 5.2 + arc AB = 16.4. ⇒ arc AB = 6 cm. ⇒ / = 6 cm. ∴ Area of sector …
Webb4 rader · The formula that is used to find the perimeter of a sector is, Perimeter of sector = Radius ... Webb26 juli 2024 · The formula to calculate the sector area is: \(\text{Sector area} = \frac{\text{angle}}{360} \times \pi r^2 \) Example Calculate the area of this sector which …
WebbTypes. A sector with the central angle of 180° is called a half-disk and is bounded by a diameter and a semicircle.Sectors with other central angles are sometimes given special names, such as quadrants (90°), sextants (60°), and octants (45°), which come from the sector being one 4th, 6th or 8th part of a full circle, respectively. . Confusingly, the arc of …
Webb17 juni 2024 · The radius of circle is r = 14cm. Given that perimeter of sector is 68 cm. ∴ 2r+l = 68 . ⇒ l = 68 − 2r = 68 − 2 × 14 = 68−28 = 40 cm . ∴ Length of the arc is 40 cm. … fit frenzy studioWebb6 apr. 2024 · The formula can be used to determine the perimeter of any part of the circle (for all the sectors of a circle) depending on the angle subtended in the center. Complete step by step answer: Substitute r = 14 cm and θ = 45 in the formula P s = 2 π r × ( θ 360) + 2 r to determine the perimeter of the sector subtending 45 0 of the angle at the ... fit fresh healthy lunch kitWebbA sector of a circle is a portion or part of a circle that is composed of an arc and its two radii. Learn more about its types, formula, facts, and example. Skip to content. ... fit fresh healthWebb20 juni 2015 · That's it. The area A of a sector is A = ( 1 / 2) ( R 2) ( θ). Substitute R = P ( θ + 2) where P is perimeter in above equation then differentiate w.r.t θ. Then equate it to zero to find theta for which Area is Max. Leave P as it is. Don't put it equal to 1. Treat it as you treat constants. can high blood pressure cause ear ringingWebb17 aug. 2024 · Perimeter of a sector The perimeter is the distance all around the outside of a shape. We can find the perimeter of a sector using what we know about finding the length of an arc. fit fresh cleanseWebb19 mars 2024 · The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. Find the area of the sector. A [CBSE Delhi Set-II, 2024] The world’s only live instant tutoring platform. Become a tutor About us Student login Tutor login. Login. Student Tutor. Filo instant Ask button for chrome browser. Now connect ... can high blood pressure cause dehydrationWebbRadius of circle = 1 4 c m. Length of arc = 2 2 c m. Using formula, A n g l e = a r c r a d i u s Now, A n g l e = 1 4 2 2 A n g l e = 2 × 7 2 2 A n g l e = 2 π (π = 7 2 2 ) A n g l e = θ = 2 π So, Area of sector = 3 6 0 o θ × π r 2 = 3 6 0 o 9 0 o × 7 2 2 × 1 4 × 1 4 = 4 1 × 2 2 × 2 × 1 4 = 2 2 × 7 = 1 5 4 s q. c m. Hence, this ... fit + fresh cool coolers slim ice packs