Mathematics (US) - 0444 CIE

Circumference And Area Of A Circle

Muhtasari

The circumference is the distance around a circle and the area is the surface it encloses, both governed by the constant \(\pi\). Extend these to a slice of the circle and you can find an arc length and the area of a sector.

In this lesson you will calculate the circumference and area of a circle, and the arc length and area of a sector, by treating a sector as a simple fraction of the whole circle.

Malengo

  1. Calculate the circumference and area of a circle, and the arc length and area of a sector.

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Maelezo ya Somo

Circular shapes are everywhere, from wheels to pizzas to clock faces. Knowing the circle formulas, and how a sector is just a fraction of the whole, handles a large slice of measurement problems.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Circumference And Area Of A Circle. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  1. The circumference of a circle is given by: A. pi r squared B. 2 pi r C. pi r D. 4 pi r Answer: B
  2. The area of a circle is given by: A. 2 pi r B. pi d C. pi r squared D. pi r Answer: C
  3. The area of a circle of radius 7 (pi = 3.142) is about: A. 44.0 B. 153.9 C. 21.99 D. 49 Answer: B
  4. A sector with angle 72 degrees is what fraction of the circle? A. 1/4 B. 1/5 C. 1/6 D. 1/3 Answer: B
  5. Arc length of a sector is the whole circumference multiplied by: A. theta/180 B. theta/360 C. 360/theta D. theta Answer: B

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